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Finding the Fourth Proportional to 17,912.32, 24,710.40 and 15,424

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Solution

The fourth proportional to 17,912.32, 24,710.40 and 15,424 is: 21,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,912.32 : 24,710.40 = 15,424 : x
  2. Step 2: Convert to fraction form
    17,912.32/24,710.40 = 15,424/x
  3. Step 3: Cross multiply
    17,912.32x = 24,710.40 × 15,424
  4. Step 4: Simplify right side
    17,912.32x = 381,133,209.60
  5. Step 5: Solve for x
    x = 381,133,209.60/17,912.32
  6. Step 6: Final answer
    x = 21,277.71

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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.