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Finding the Fourth Proportional to 31,411.40, 43,348.16 and 17,264.54

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Solution

The fourth proportional to 31,411.40, 43,348.16 and 17,264.54 is: 23,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.40 : 43,348.16 = 17,264.54 : x
  2. Step 2: Convert to fraction form
    31,411.40/43,348.16 = 17,264.54/x
  3. Step 3: Cross multiply
    31,411.40x = 43,348.16 × 17,264.54
  4. Step 4: Simplify right side
    31,411.40x = 748,386,193.78
  5. Step 5: Solve for x
    x = 748,386,193.78/31,411.40
  6. Step 6: Final answer
    x = 23,825.31

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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.