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Finding the Fourth Proportional to 17,657.65, 24,367.99 and 9,700.61

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Solution

The fourth proportional to 17,657.65, 24,367.99 and 9,700.61 is: 13,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.65 : 24,367.99 = 9,700.61 : x
  2. Step 2: Convert to fraction form
    17,657.65/24,367.99 = 9,700.61/x
  3. Step 3: Cross multiply
    17,657.65x = 24,367.99 × 9,700.61
  4. Step 4: Simplify right side
    17,657.65x = 236,384,367.47
  5. Step 5: Solve for x
    x = 236,384,367.47/17,657.65
  6. Step 6: Final answer
    x = 13,387.08

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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.