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Finding the Fourth Proportional to 17,665.58, 24,378.94 and 9,708.55

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Solution

The fourth proportional to 17,665.58, 24,378.94 and 9,708.55 is: 13,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.58 : 24,378.94 = 9,708.55 : x
  2. Step 2: Convert to fraction form
    17,665.58/24,378.94 = 9,708.55/x
  3. Step 3: Cross multiply
    17,665.58x = 24,378.94 × 9,708.55
  4. Step 4: Simplify right side
    17,665.58x = 236,684,109.13
  5. Step 5: Solve for x
    x = 236,684,109.13/17,665.58
  6. Step 6: Final answer
    x = 13,398.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.