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Finding the Fourth Proportional to 29,531.88, 40,733.15 and 17,586

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Solution

The fourth proportional to 29,531.88, 40,733.15 and 17,586 is: 24,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.88 : 40,733.15 = 17,586 : x
  2. Step 2: Convert to fraction form
    29,531.88/40,733.15 = 17,586/x
  3. Step 3: Cross multiply
    29,531.88x = 40,733.15 × 17,586
  4. Step 4: Simplify right side
    29,531.88x = 716,333,087.97
  5. Step 5: Solve for x
    x = 716,333,087.97/29,531.88
  6. Step 6: Final answer
    x = 24,256.26

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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.