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Finding the Fourth Proportional to 22,872.48, 34,280.46 and 13,503

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Solution

The fourth proportional to 22,872.48, 34,280.46 and 13,503 is: 20,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.48 : 34,280.46 = 13,503 : x
  2. Step 2: Convert to fraction form
    22,872.48/34,280.46 = 13,503/x
  3. Step 3: Cross multiply
    22,872.48x = 34,280.46 × 13,503
  4. Step 4: Simplify right side
    22,872.48x = 462,889,051.38
  5. Step 5: Solve for x
    x = 462,889,051.38/22,872.48
  6. Step 6: Final answer
    x = 20,237.82

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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.