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Finding the Fourth Proportional to 27,142.96, 40,666.11 and 16,607.83

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Solution

The fourth proportional to 27,142.96, 40,666.11 and 16,607.83 is: 24,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.96 : 40,666.11 = 16,607.83 : x
  2. Step 2: Convert to fraction form
    27,142.96/40,666.11 = 16,607.83/x
  3. Step 3: Cross multiply
    27,142.96x = 40,666.11 × 16,607.83
  4. Step 4: Simplify right side
    27,142.96x = 675,375,841.64
  5. Step 5: Solve for x
    x = 675,375,841.64/27,142.96
  6. Step 6: Final answer
    x = 24,882.17

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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.