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Finding the Fourth Proportional to 29,215, 43,826.82 and 13,624.12

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Solution

The fourth proportional to 29,215, 43,826.82 and 13,624.12 is: 20,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,215 : 43,826.82 = 13,624.12 : x
  2. Step 2: Convert to fraction form
    29,215/43,826.82 = 13,624.12/x
  3. Step 3: Cross multiply
    29,215x = 43,826.82 × 13,624.12
  4. Step 4: Simplify right side
    29,215x = 597,101,854.90
  5. Step 5: Solve for x
    x = 597,101,854.90/29,215
  6. Step 6: Final answer
    x = 20,438.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.