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Finding the Fourth Proportional to 10,842.42, 16,238.37 and 10,543.14

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Solution

The fourth proportional to 10,842.42, 16,238.37 and 10,543.14 is: 15,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.42 : 16,238.37 = 10,543.14 : x
  2. Step 2: Convert to fraction form
    10,842.42/16,238.37 = 10,543.14/x
  3. Step 3: Cross multiply
    10,842.42x = 16,238.37 × 10,543.14
  4. Step 4: Simplify right side
    10,842.42x = 171,203,455.83
  5. Step 5: Solve for x
    x = 171,203,455.83/10,842.42
  6. Step 6: Final answer
    x = 15,790.15

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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.