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Finding the Fourth Proportional to 16,265.34, 24,395.10 and 4,575.78

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Solution

The fourth proportional to 16,265.34, 24,395.10 and 4,575.78 is: 6,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.34 : 24,395.10 = 4,575.78 : x
  2. Step 2: Convert to fraction form
    16,265.34/24,395.10 = 4,575.78/x
  3. Step 3: Cross multiply
    16,265.34x = 24,395.10 × 4,575.78
  4. Step 4: Simplify right side
    16,265.34x = 111,626,610.68
  5. Step 5: Solve for x
    x = 111,626,610.68/16,265.34
  6. Step 6: Final answer
    x = 6,862.85

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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.