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Finding the Fourth Proportional to 16,307.10, 24,412.05 and 9,729.90

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Solution

The fourth proportional to 16,307.10, 24,412.05 and 9,729.90 is: 14,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.10 : 24,412.05 = 9,729.90 : x
  2. Step 2: Convert to fraction form
    16,307.10/24,412.05 = 9,729.90/x
  3. Step 3: Cross multiply
    16,307.10x = 24,412.05 × 9,729.90
  4. Step 4: Simplify right side
    16,307.10x = 237,526,805.30
  5. Step 5: Solve for x
    x = 237,526,805.30/16,307.10
  6. Step 6: Final answer
    x = 14,565.85

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1.5x scale

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.