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Finding the Fourth Proportional to 17,132.86, 23,643.19 and 9,476.13

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Solution

The fourth proportional to 17,132.86, 23,643.19 and 9,476.13 is: 13,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.86 : 23,643.19 = 9,476.13 : x
  2. Step 2: Convert to fraction form
    17,132.86/23,643.19 = 9,476.13/x
  3. Step 3: Cross multiply
    17,132.86x = 23,643.19 × 9,476.13
  4. Step 4: Simplify right side
    17,132.86x = 224,046,042.56
  5. Step 5: Solve for x
    x = 224,046,042.56/17,132.86
  6. Step 6: Final answer
    x = 13,076.98

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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.