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Finding the Fourth Proportional to 17,693.76, 24,417.20 and 9,627.66

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Solution

The fourth proportional to 17,693.76, 24,417.20 and 9,627.66 is: 13,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.76 : 24,417.20 = 9,627.66 : x
  2. Step 2: Convert to fraction form
    17,693.76/24,417.20 = 9,627.66/x
  3. Step 3: Cross multiply
    17,693.76x = 24,417.20 × 9,627.66
  4. Step 4: Simplify right side
    17,693.76x = 235,080,499.75
  5. Step 5: Solve for x
    x = 235,080,499.75/17,693.76
  6. Step 6: Final answer
    x = 13,286.07

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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.