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Finding the Fourth Proportional to 12,524.16, 18,756.43 and 7,248.06

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Solution

The fourth proportional to 12,524.16, 18,756.43 and 7,248.06 is: 10,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.16 : 18,756.43 = 7,248.06 : x
  2. Step 2: Convert to fraction form
    12,524.16/18,756.43 = 7,248.06/x
  3. Step 3: Cross multiply
    12,524.16x = 18,756.43 × 7,248.06
  4. Step 4: Simplify right side
    12,524.16x = 135,947,711.91
  5. Step 5: Solve for x
    x = 135,947,711.91/12,524.16
  6. Step 6: Final answer
    x = 10,854.84

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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.