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Finding the Fourth Proportional to 20,427.40, 28,195.14 and 12,475

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Solution

The fourth proportional to 20,427.40, 28,195.14 and 12,475 is: 17,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.40 : 28,195.14 = 12,475 : x
  2. Step 2: Convert to fraction form
    20,427.40/28,195.14 = 12,475/x
  3. Step 3: Cross multiply
    20,427.40x = 28,195.14 × 12,475
  4. Step 4: Simplify right side
    20,427.40x = 351,734,371.50
  5. Step 5: Solve for x
    x = 351,734,371.50/20,427.40
  6. Step 6: Final answer
    x = 17,218.75

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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.