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Finding the Fourth Proportional to 17,663.63, 24,375.84 and 9,597.30

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Solution

The fourth proportional to 17,663.63, 24,375.84 and 9,597.30 is: 13,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.63 : 24,375.84 = 9,597.30 : x
  2. Step 2: Convert to fraction form
    17,663.63/24,375.84 = 9,597.30/x
  3. Step 3: Cross multiply
    17,663.63x = 24,375.84 × 9,597.30
  4. Step 4: Simplify right side
    17,663.63x = 233,942,312.93
  5. Step 5: Solve for x
    x = 233,942,312.93/17,663.63
  6. Step 6: Final answer
    x = 13,244.30

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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.