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Finding the Fourth Proportional to 22,597.20, 31,180.82 and 12,524.85

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Solution

The fourth proportional to 22,597.20, 31,180.82 and 12,524.85 is: 17,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.20 : 31,180.82 = 12,524.85 : x
  2. Step 2: Convert to fraction form
    22,597.20/31,180.82 = 12,524.85/x
  3. Step 3: Cross multiply
    22,597.20x = 31,180.82 × 12,524.85
  4. Step 4: Simplify right side
    22,597.20x = 390,535,030.75
  5. Step 5: Solve for x
    x = 390,535,030.75/22,597.20
  6. Step 6: Final answer
    x = 17,282.45

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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.