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Finding the Fourth Proportional to 23,189.52, 32,001.53 and 13,117.74

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Solution

The fourth proportional to 23,189.52, 32,001.53 and 13,117.74 is: 18,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.52 : 32,001.53 = 13,117.74 : x
  2. Step 2: Convert to fraction form
    23,189.52/32,001.53 = 13,117.74/x
  3. Step 3: Cross multiply
    23,189.52x = 32,001.53 × 13,117.74
  4. Step 4: Simplify right side
    23,189.52x = 419,787,750.14
  5. Step 5: Solve for x
    x = 419,787,750.14/23,189.52
  6. Step 6: Final answer
    x = 18,102.48

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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.