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Finding the Fourth Proportional to 16,354.68, 24,538.20 and 9,785.49

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Solution

The fourth proportional to 16,354.68, 24,538.20 and 9,785.49 is: 14,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.68 : 24,538.20 = 9,785.49 : x
  2. Step 2: Convert to fraction form
    16,354.68/24,538.20 = 9,785.49/x
  3. Step 3: Cross multiply
    16,354.68x = 24,538.20 × 9,785.49
  4. Step 4: Simplify right side
    16,354.68x = 240,118,310.72
  5. Step 5: Solve for x
    x = 240,118,310.72/16,354.68
  6. Step 6: Final answer
    x = 14,681.93

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