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Finding the Fourth Proportional to 15,865.24, 21,902.88 and 10,837

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Solution

The fourth proportional to 15,865.24, 21,902.88 and 10,837 is: 14,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.24 : 21,902.88 = 10,837 : x
  2. Step 2: Convert to fraction form
    15,865.24/21,902.88 = 10,837/x
  3. Step 3: Cross multiply
    15,865.24x = 21,902.88 × 10,837
  4. Step 4: Simplify right side
    15,865.24x = 237,361,510.56
  5. Step 5: Solve for x
    x = 237,361,510.56/15,865.24
  6. Step 6: Final answer
    x = 14,961.10

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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.