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Finding the Fourth Proportional to 17,002.71, 23,470.16 and 9,931.41

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Solution

The fourth proportional to 17,002.71, 23,470.16 and 9,931.41 is: 13,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.71 : 23,470.16 = 9,931.41 : x
  2. Step 2: Convert to fraction form
    17,002.71/23,470.16 = 9,931.41/x
  3. Step 3: Cross multiply
    17,002.71x = 23,470.16 × 9,931.41
  4. Step 4: Simplify right side
    17,002.71x = 233,091,732.07
  5. Step 5: Solve for x
    x = 233,091,732.07/17,002.71
  6. Step 6: Final answer
    x = 13,709.09

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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.