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Finding the Fourth Proportional to 17,665.32, 24,377.00 and 10,111.71

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Solution

The fourth proportional to 17,665.32, 24,377.00 and 10,111.71 is: 13,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.32 : 24,377.00 = 10,111.71 : x
  2. Step 2: Convert to fraction form
    17,665.32/24,377.00 = 10,111.71/x
  3. Step 3: Cross multiply
    17,665.32x = 24,377.00 × 10,111.71
  4. Step 4: Simplify right side
    17,665.32x = 246,493,104.11
  5. Step 5: Solve for x
    x = 246,493,104.11/17,665.32
  6. Step 6: Final answer
    x = 13,953.50

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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.