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Finding the Fourth Proportional to 17,920.20, 24,730.76 and 9,962.25

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Solution

The fourth proportional to 17,920.20, 24,730.76 and 9,962.25 is: 13,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.20 : 24,730.76 = 9,962.25 : x
  2. Step 2: Convert to fraction form
    17,920.20/24,730.76 = 9,962.25/x
  3. Step 3: Cross multiply
    17,920.20x = 24,730.76 × 9,962.25
  4. Step 4: Simplify right side
    17,920.20x = 246,373,964.00
  5. Step 5: Solve for x
    x = 246,373,964.00/17,920.20
  6. Step 6: Final answer
    x = 13,748.39

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1.5x scale

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.