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Finding the Fourth Proportional to 15,902.75, 23,854.14 and 4,958.75

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Solution

The fourth proportional to 15,902.75, 23,854.14 and 4,958.75 is: 7,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.75 : 23,854.14 = 4,958.75 : x
  2. Step 2: Convert to fraction form
    15,902.75/23,854.14 = 4,958.75/x
  3. Step 3: Cross multiply
    15,902.75x = 23,854.14 × 4,958.75
  4. Step 4: Simplify right side
    15,902.75x = 118,286,691.93
  5. Step 5: Solve for x
    x = 118,286,691.93/15,902.75
  6. Step 6: Final answer
    x = 7,438.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.