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Finding the Fourth Proportional to 21,353.10, 32,002.65 and 8,187.90

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Solution

The fourth proportional to 21,353.10, 32,002.65 and 8,187.90 is: 12,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.10 : 32,002.65 = 8,187.90 : x
  2. Step 2: Convert to fraction form
    21,353.10/32,002.65 = 8,187.90/x
  3. Step 3: Cross multiply
    21,353.10x = 32,002.65 × 8,187.90
  4. Step 4: Simplify right side
    21,353.10x = 262,034,497.94
  5. Step 5: Solve for x
    x = 262,034,497.94/21,353.10
  6. Step 6: Final answer
    x = 12,271.50

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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.