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Finding the Fourth Proportional to 16,552.86, 24,767.30 and 9,864.89

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Solution

The fourth proportional to 16,552.86, 24,767.30 and 9,864.89 is: 14,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.86 : 24,767.30 = 9,864.89 : x
  2. Step 2: Convert to fraction form
    16,552.86/24,767.30 = 9,864.89/x
  3. Step 3: Cross multiply
    16,552.86x = 24,767.30 × 9,864.89
  4. Step 4: Simplify right side
    16,552.86x = 244,326,516.94
  5. Step 5: Solve for x
    x = 244,326,516.94/16,552.86
  6. Step 6: Final answer
    x = 14,760.38

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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.