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Finding the Fourth Proportional to 23,725.76, 32,740.26 and 13,114.76

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Solution

The fourth proportional to 23,725.76, 32,740.26 and 13,114.76 is: 18,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.76 : 32,740.26 = 13,114.76 : x
  2. Step 2: Convert to fraction form
    23,725.76/32,740.26 = 13,114.76/x
  3. Step 3: Cross multiply
    23,725.76x = 32,740.26 × 13,114.76
  4. Step 4: Simplify right side
    23,725.76x = 429,380,488.54
  5. Step 5: Solve for x
    x = 429,380,488.54/23,725.76
  6. Step 6: Final answer
    x = 18,097.65

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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.