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Finding the Fourth Proportional to 23,732.15, 32,751.03 and 13,122.47

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Solution

The fourth proportional to 23,732.15, 32,751.03 and 13,122.47 is: 18,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732.15 : 32,751.03 = 13,122.47 : x
  2. Step 2: Convert to fraction form
    23,732.15/32,751.03 = 13,122.47/x
  3. Step 3: Cross multiply
    23,732.15x = 32,751.03 × 13,122.47
  4. Step 4: Simplify right side
    23,732.15x = 429,774,408.64
  5. Step 5: Solve for x
    x = 429,774,408.64/23,732.15
  6. Step 6: Final answer
    x = 18,109.38

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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.