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Finding the Fourth Proportional to 23,734, 32,752.38 and 13,123.72

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Solution

The fourth proportional to 23,734, 32,752.38 and 13,123.72 is: 18,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734 : 32,752.38 = 13,123.72 : x
  2. Step 2: Convert to fraction form
    23,734/32,752.38 = 13,123.72/x
  3. Step 3: Cross multiply
    23,734x = 32,752.38 × 13,123.72
  4. Step 4: Simplify right side
    23,734x = 429,833,064.45
  5. Step 5: Solve for x
    x = 429,833,064.45/23,734
  6. Step 6: Final answer
    x = 18,110.44

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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.