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Finding the Fourth Proportional to 17,742.79, 24,484.50 and 9,784.54

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Solution

The fourth proportional to 17,742.79, 24,484.50 and 9,784.54 is: 13,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.79 : 24,484.50 = 9,784.54 : x
  2. Step 2: Convert to fraction form
    17,742.79/24,484.50 = 9,784.54/x
  3. Step 3: Cross multiply
    17,742.79x = 24,484.50 × 9,784.54
  4. Step 4: Simplify right side
    17,742.79x = 239,569,508.42
  5. Step 5: Solve for x
    x = 239,569,508.42/17,742.79
  6. Step 6: Final answer
    x = 13,502.36

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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.