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Finding the Fourth Proportional to 17,594.61, 24,279.65 and 9,635.30

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Solution

The fourth proportional to 17,594.61, 24,279.65 and 9,635.30 is: 13,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,594.61 : 24,279.65 = 9,635.30 : x
  2. Step 2: Convert to fraction form
    17,594.61/24,279.65 = 9,635.30/x
  3. Step 3: Cross multiply
    17,594.61x = 24,279.65 × 9,635.30
  4. Step 4: Simplify right side
    17,594.61x = 233,941,705.38
  5. Step 5: Solve for x
    x = 233,941,705.38/17,594.61
  6. Step 6: Final answer
    x = 13,296.21

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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.