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Finding the Fourth Proportional to 17,665.26, 24,378.06 and 9,708

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Solution

The fourth proportional to 17,665.26, 24,378.06 and 9,708 is: 13,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.26 : 24,378.06 = 9,708 : x
  2. Step 2: Convert to fraction form
    17,665.26/24,378.06 = 9,708/x
  3. Step 3: Cross multiply
    17,665.26x = 24,378.06 × 9,708
  4. Step 4: Simplify right side
    17,665.26x = 236,662,206.48
  5. Step 5: Solve for x
    x = 236,662,206.48/17,665.26
  6. Step 6: Final answer
    x = 13,397.04

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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.