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Finding the Fourth Proportional to 17,720.52, 24,454 and 9,763.48

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Solution

The fourth proportional to 17,720.52, 24,454 and 9,763.48 is: 13,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.52 : 24,454 = 9,763.48 : x
  2. Step 2: Convert to fraction form
    17,720.52/24,454 = 9,763.48/x
  3. Step 3: Cross multiply
    17,720.52x = 24,454 × 9,763.48
  4. Step 4: Simplify right side
    17,720.52x = 238,756,139.92
  5. Step 5: Solve for x
    x = 238,756,139.92/17,720.52
  6. Step 6: Final answer
    x = 13,473.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.