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Finding the Fourth Proportional to 27,998.60, 42,014.10 and 10,470.20

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Solution

The fourth proportional to 27,998.60, 42,014.10 and 10,470.20 is: 15,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.60 : 42,014.10 = 10,470.20 : x
  2. Step 2: Convert to fraction form
    27,998.60/42,014.10 = 10,470.20/x
  3. Step 3: Cross multiply
    27,998.60x = 42,014.10 × 10,470.20
  4. Step 4: Simplify right side
    27,998.60x = 439,896,029.82
  5. Step 5: Solve for x
    x = 439,896,029.82/27,998.60
  6. Step 6: Final answer
    x = 15,711.36

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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.