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Finding the Fourth Proportional to 17,719.72, 24,453.10 and 9,761.76

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Solution

The fourth proportional to 17,719.72, 24,453.10 and 9,761.76 is: 13,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.72 : 24,453.10 = 9,761.76 : x
  2. Step 2: Convert to fraction form
    17,719.72/24,453.10 = 9,761.76/x
  3. Step 3: Cross multiply
    17,719.72x = 24,453.10 × 9,761.76
  4. Step 4: Simplify right side
    17,719.72x = 238,705,293.46
  5. Step 5: Solve for x
    x = 238,705,293.46/17,719.72
  6. Step 6: Final answer
    x = 13,471.17

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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.