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Finding the Fourth Proportional to 22,826.78, 34,193.01 and 13,437.87

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Solution

The fourth proportional to 22,826.78, 34,193.01 and 13,437.87 is: 20,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.78 : 34,193.01 = 13,437.87 : x
  2. Step 2: Convert to fraction form
    22,826.78/34,193.01 = 13,437.87/x
  3. Step 3: Cross multiply
    22,826.78x = 34,193.01 × 13,437.87
  4. Step 4: Simplify right side
    22,826.78x = 459,481,223.29
  5. Step 5: Solve for x
    x = 459,481,223.29/22,826.78
  6. Step 6: Final answer
    x = 20,129.05

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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.