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Finding the Fourth Proportional to 29,191.22, 40,282.81 and 17,856.48

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Solution

The fourth proportional to 29,191.22, 40,282.81 and 17,856.48 is: 24,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,191.22 : 40,282.81 = 17,856.48 : x
  2. Step 2: Convert to fraction form
    29,191.22/40,282.81 = 17,856.48/x
  3. Step 3: Cross multiply
    29,191.22x = 40,282.81 × 17,856.48
  4. Step 4: Simplify right side
    29,191.22x = 719,309,146.47
  5. Step 5: Solve for x
    x = 719,309,146.47/29,191.22
  6. Step 6: Final answer
    x = 24,641.29

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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.