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Finding the Fourth Proportional to 17,920.50, 24,729.12 and 9,962.43

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Solution

The fourth proportional to 17,920.50, 24,729.12 and 9,962.43 is: 13,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.50 : 24,729.12 = 9,962.43 : x
  2. Step 2: Convert to fraction form
    17,920.50/24,729.12 = 9,962.43/x
  3. Step 3: Cross multiply
    17,920.50x = 24,729.12 × 9,962.43
  4. Step 4: Simplify right side
    17,920.50x = 246,362,126.96
  5. Step 5: Solve for x
    x = 246,362,126.96/17,920.50
  6. Step 6: Final answer
    x = 13,747.50

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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.