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Finding the Fourth Proportional to 16,304.28, 24,453 and 4,614.36

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Solution

The fourth proportional to 16,304.28, 24,453 and 4,614.36 is: 6,920.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.28 : 24,453 = 4,614.36 : x
  2. Step 2: Convert to fraction form
    16,304.28/24,453 = 4,614.36/x
  3. Step 3: Cross multiply
    16,304.28x = 24,453 × 4,614.36
  4. Step 4: Simplify right side
    16,304.28x = 112,834,945.08
  5. Step 5: Solve for x
    x = 112,834,945.08/16,304.28
  6. Step 6: Final answer
    x = 6,920.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.