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Finding the Fourth Proportional to 17,742.73, 24,484.53 and 9,784.80

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Solution

The fourth proportional to 17,742.73, 24,484.53 and 9,784.80 is: 13,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.73 : 24,484.53 = 9,784.80 : x
  2. Step 2: Convert to fraction form
    17,742.73/24,484.53 = 9,784.80/x
  3. Step 3: Cross multiply
    17,742.73x = 24,484.53 × 9,784.80
  4. Step 4: Simplify right side
    17,742.73x = 239,576,229.14
  5. Step 5: Solve for x
    x = 239,576,229.14/17,742.73
  6. Step 6: Final answer
    x = 13,502.78

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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.