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Finding the Fourth Proportional to 16,501.69, 24,760.71 and 7,737.28

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Solution

The fourth proportional to 16,501.69, 24,760.71 and 7,737.28 is: 11,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.69 : 24,760.71 = 7,737.28 : x
  2. Step 2: Convert to fraction form
    16,501.69/24,760.71 = 7,737.28/x
  3. Step 3: Cross multiply
    16,501.69x = 24,760.71 × 7,737.28
  4. Step 4: Simplify right side
    16,501.69x = 191,580,546.27
  5. Step 5: Solve for x
    x = 191,580,546.27/16,501.69
  6. Step 6: Final answer
    x = 11,609.75

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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.