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Finding the Fourth Proportional to 17,663.68, 24,375.72 and 9,705.88

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Solution

The fourth proportional to 17,663.68, 24,375.72 and 9,705.88 is: 13,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.68 : 24,375.72 = 9,705.88 : x
  2. Step 2: Convert to fraction form
    17,663.68/24,375.72 = 9,705.88/x
  3. Step 3: Cross multiply
    17,663.68x = 24,375.72 × 9,705.88
  4. Step 4: Simplify right side
    17,663.68x = 236,587,813.23
  5. Step 5: Solve for x
    x = 236,587,813.23/17,663.68
  6. Step 6: Final answer
    x = 13,394.03

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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.