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Finding the Fourth Proportional to 17,801.97, 24,566.31 and 10,146.66

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Solution

The fourth proportional to 17,801.97, 24,566.31 and 10,146.66 is: 14,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.97 : 24,566.31 = 10,146.66 : x
  2. Step 2: Convert to fraction form
    17,801.97/24,566.31 = 10,146.66/x
  3. Step 3: Cross multiply
    17,801.97x = 24,566.31 × 10,146.66
  4. Step 4: Simplify right side
    17,801.97x = 249,265,995.02
  5. Step 5: Solve for x
    x = 249,265,995.02/17,801.97
  6. Step 6: Final answer
    x = 14,002.16

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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.