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Finding the Fourth Proportional to 10,842.14, 16,269.28 and 10,759.52

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Solution

The fourth proportional to 10,842.14, 16,269.28 and 10,759.52 is: 16,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.14 : 16,269.28 = 10,759.52 : x
  2. Step 2: Convert to fraction form
    10,842.14/16,269.28 = 10,759.52/x
  3. Step 3: Cross multiply
    10,842.14x = 16,269.28 × 10,759.52
  4. Step 4: Simplify right side
    10,842.14x = 175,049,643.55
  5. Step 5: Solve for x
    x = 175,049,643.55/10,842.14
  6. Step 6: Final answer
    x = 16,145.30

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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.