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Finding the Fourth Proportional to 17,431.54, 24,055.71 and 9,473.76

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Solution

The fourth proportional to 17,431.54, 24,055.71 and 9,473.76 is: 13,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.54 : 24,055.71 = 9,473.76 : x
  2. Step 2: Convert to fraction form
    17,431.54/24,055.71 = 9,473.76/x
  3. Step 3: Cross multiply
    17,431.54x = 24,055.71 × 9,473.76
  4. Step 4: Simplify right side
    17,431.54x = 227,898,059.62
  5. Step 5: Solve for x
    x = 227,898,059.62/17,431.54
  6. Step 6: Final answer
    x = 13,073.89

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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.