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Finding the Fourth Proportional to 12,452.40, 18,635.40 and 8,564.40

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Solution

The fourth proportional to 12,452.40, 18,635.40 and 8,564.40 is: 12,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.40 : 18,635.40 = 8,564.40 : x
  2. Step 2: Convert to fraction form
    12,452.40/18,635.40 = 8,564.40/x
  3. Step 3: Cross multiply
    12,452.40x = 18,635.40 × 8,564.40
  4. Step 4: Simplify right side
    12,452.40x = 159,601,019.76
  5. Step 5: Solve for x
    x = 159,601,019.76/12,452.40
  6. Step 6: Final answer
    x = 12,816.89

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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.