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Finding the Fourth Proportional to 23,902.81, 35,854.16 and 11,384.87

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Solution

The fourth proportional to 23,902.81, 35,854.16 and 11,384.87 is: 17,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.81 : 35,854.16 = 11,384.87 : x
  2. Step 2: Convert to fraction form
    23,902.81/35,854.16 = 11,384.87/x
  3. Step 3: Cross multiply
    23,902.81x = 35,854.16 × 11,384.87
  4. Step 4: Simplify right side
    23,902.81x = 408,194,799.75
  5. Step 5: Solve for x
    x = 408,194,799.75/23,902.81
  6. Step 6: Final answer
    x = 17,077.27

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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.