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Finding the Fourth Proportional to 16,397.46, 24,614.43 and 8,497.86

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Solution

The fourth proportional to 16,397.46, 24,614.43 and 8,497.86 is: 12,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.46 : 24,614.43 = 8,497.86 : x
  2. Step 2: Convert to fraction form
    16,397.46/24,614.43 = 8,497.86/x
  3. Step 3: Cross multiply
    16,397.46x = 24,614.43 × 8,497.86
  4. Step 4: Simplify right side
    16,397.46x = 209,169,980.12
  5. Step 5: Solve for x
    x = 209,169,980.12/16,397.46
  6. Step 6: Final answer
    x = 12,756.24

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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.