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Finding the Fourth Proportional to 17,665.57, 24,377.34 and 10,111.96

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Solution

The fourth proportional to 17,665.57, 24,377.34 and 10,111.96 is: 13,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.57 : 24,377.34 = 10,111.96 : x
  2. Step 2: Convert to fraction form
    17,665.57/24,377.34 = 10,111.96/x
  3. Step 3: Cross multiply
    17,665.57x = 24,377.34 × 10,111.96
  4. Step 4: Simplify right side
    17,665.57x = 246,502,686.99
  5. Step 5: Solve for x
    x = 246,502,686.99/17,665.57
  6. Step 6: Final answer
    x = 13,953.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.