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Finding the Fourth Proportional to 28,142.64, 42,189.12 and 10,600.20

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Solution

The fourth proportional to 28,142.64, 42,189.12 and 10,600.20 is: 15,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.64 : 42,189.12 = 10,600.20 : x
  2. Step 2: Convert to fraction form
    28,142.64/42,189.12 = 10,600.20/x
  3. Step 3: Cross multiply
    28,142.64x = 42,189.12 × 10,600.20
  4. Step 4: Simplify right side
    28,142.64x = 447,213,109.82
  5. Step 5: Solve for x
    x = 447,213,109.82/28,142.64
  6. Step 6: Final answer
    x = 15,890.94

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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.