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Finding the Fourth Proportional to 22,499.52, 31,049.20 and 12,428.60

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Solution

The fourth proportional to 22,499.52, 31,049.20 and 12,428.60 is: 17,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.52 : 31,049.20 = 12,428.60 : x
  2. Step 2: Convert to fraction form
    22,499.52/31,049.20 = 12,428.60/x
  3. Step 3: Cross multiply
    22,499.52x = 31,049.20 × 12,428.60
  4. Step 4: Simplify right side
    22,499.52x = 385,898,087.12
  5. Step 5: Solve for x
    x = 385,898,087.12/22,499.52
  6. Step 6: Final answer
    x = 17,151.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.