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Finding the Fourth Proportional to 11,737.29, 17,609.54 and 8,447.61

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Solution

The fourth proportional to 11,737.29, 17,609.54 and 8,447.61 is: 12,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.29 : 17,609.54 = 8,447.61 : x
  2. Step 2: Convert to fraction form
    11,737.29/17,609.54 = 8,447.61/x
  3. Step 3: Cross multiply
    11,737.29x = 17,609.54 × 8,447.61
  4. Step 4: Simplify right side
    11,737.29x = 148,758,526.20
  5. Step 5: Solve for x
    x = 148,758,526.20/11,737.29
  6. Step 6: Final answer
    x = 12,674.01

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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.