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Finding the Fourth Proportional to 17,742.18, 24,481.80 and 9,784.74

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Solution

The fourth proportional to 17,742.18, 24,481.80 and 9,784.74 is: 13,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.18 : 24,481.80 = 9,784.74 : x
  2. Step 2: Convert to fraction form
    17,742.18/24,481.80 = 9,784.74/x
  3. Step 3: Cross multiply
    17,742.18x = 24,481.80 × 9,784.74
  4. Step 4: Simplify right side
    17,742.18x = 239,548,047.73
  5. Step 5: Solve for x
    x = 239,548,047.73/17,742.18
  6. Step 6: Final answer
    x = 13,501.61

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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.