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Finding the Fourth Proportional to 29,707.50, 40,996.35 and 17,132.25

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Solution

The fourth proportional to 29,707.50, 40,996.35 and 17,132.25 is: 23,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707.50 : 40,996.35 = 17,132.25 : x
  2. Step 2: Convert to fraction form
    29,707.50/40,996.35 = 17,132.25/x
  3. Step 3: Cross multiply
    29,707.50x = 40,996.35 × 17,132.25
  4. Step 4: Simplify right side
    29,707.50x = 702,359,717.29
  5. Step 5: Solve for x
    x = 702,359,717.29/29,707.50
  6. Step 6: Final answer
    x = 23,642.51

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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.