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Finding the Fourth Proportional to 29,314.10, 40,471.80 and 22,586.96

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Solution

The fourth proportional to 29,314.10, 40,471.80 and 22,586.96 is: 31,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.10 : 40,471.80 = 22,586.96 : x
  2. Step 2: Convert to fraction form
    29,314.10/40,471.80 = 22,586.96/x
  3. Step 3: Cross multiply
    29,314.10x = 40,471.80 × 22,586.96
  4. Step 4: Simplify right side
    29,314.10x = 914,134,927.73
  5. Step 5: Solve for x
    x = 914,134,927.73/29,314.10
  6. Step 6: Final answer
    x = 31,184.14

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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.