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Finding the Fourth Proportional to 23,364.38, 32,241.72 and 13,291.87

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Solution

The fourth proportional to 23,364.38, 32,241.72 and 13,291.87 is: 18,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.38 : 32,241.72 = 13,291.87 : x
  2. Step 2: Convert to fraction form
    23,364.38/32,241.72 = 13,291.87/x
  3. Step 3: Cross multiply
    23,364.38x = 32,241.72 × 13,291.87
  4. Step 4: Simplify right side
    23,364.38x = 428,552,750.82
  5. Step 5: Solve for x
    x = 428,552,750.82/23,364.38
  6. Step 6: Final answer
    x = 18,342.14

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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.