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Finding the Fourth Proportional to 12,352.50, 18,482.28 and 8,661.94

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Solution

The fourth proportional to 12,352.50, 18,482.28 and 8,661.94 is: 12,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.50 : 18,482.28 = 8,661.94 : x
  2. Step 2: Convert to fraction form
    12,352.50/18,482.28 = 8,661.94/x
  3. Step 3: Cross multiply
    12,352.50x = 18,482.28 × 8,661.94
  4. Step 4: Simplify right side
    12,352.50x = 160,092,321.74
  5. Step 5: Solve for x
    x = 160,092,321.74/12,352.50
  6. Step 6: Final answer
    x = 12,960.32

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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.