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Finding the Fourth Proportional to 31,411.64, 43,348.92 and 17,264.72

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Solution

The fourth proportional to 31,411.64, 43,348.92 and 17,264.72 is: 23,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.64 : 43,348.92 = 17,264.72 : x
  2. Step 2: Convert to fraction form
    31,411.64/43,348.92 = 17,264.72/x
  3. Step 3: Cross multiply
    31,411.64x = 43,348.92 × 17,264.72
  4. Step 4: Simplify right side
    31,411.64x = 748,406,966.10
  5. Step 5: Solve for x
    x = 748,406,966.10/31,411.64
  6. Step 6: Final answer
    x = 23,825.78

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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.