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Finding the Fourth Proportional to 16,265.92, 24,395.28 and 4,576

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Solution

The fourth proportional to 16,265.92, 24,395.28 and 4,576 is: 6,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.92 : 24,395.28 = 4,576 : x
  2. Step 2: Convert to fraction form
    16,265.92/24,395.28 = 4,576/x
  3. Step 3: Cross multiply
    16,265.92x = 24,395.28 × 4,576
  4. Step 4: Simplify right side
    16,265.92x = 111,632,801.28
  5. Step 5: Solve for x
    x = 111,632,801.28/16,265.92
  6. Step 6: Final answer
    x = 6,862.99

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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.