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Finding the Fourth Proportional to 8,482,893.10, 12,724,339.65 and 8,482,893.10

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Solution

The fourth proportional to 8,482,893.10, 12,724,339.65 and 8,482,893.10 is: 12,724,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482,893.10 : 12,724,339.65 = 8,482,893.10 : x
  2. Step 2: Convert to fraction form
    8,482,893.10/12,724,339.65 = 8,482,893.10/x
  3. Step 3: Cross multiply
    8,482,893.10x = 12,724,339.65 × 8,482,893.10
  4. Step 4: Simplify right side
    8,482,893.10x = 107,939,213,019,041.41
  5. Step 5: Solve for x
    x = 107,939,213,019,041.41/8,482,893.10
  6. Step 6: Final answer
    x = 12,724,339.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.