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Finding the Fourth Proportional to 17,742.38, 24,484.48 and 9,784.53

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Solution

The fourth proportional to 17,742.38, 24,484.48 and 9,784.53 is: 13,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.38 : 24,484.48 = 9,784.53 : x
  2. Step 2: Convert to fraction form
    17,742.38/24,484.48 = 9,784.53/x
  3. Step 3: Cross multiply
    17,742.38x = 24,484.48 × 9,784.53
  4. Step 4: Simplify right side
    17,742.38x = 239,569,104.63
  5. Step 5: Solve for x
    x = 239,569,104.63/17,742.38
  6. Step 6: Final answer
    x = 13,502.65

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Why These Related Problems?

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