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Finding the Fourth Proportional to 14,270.20, 21,429.60 and 10,139.20

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Solution

The fourth proportional to 14,270.20, 21,429.60 and 10,139.20 is: 15,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.20 : 21,429.60 = 10,139.20 : x
  2. Step 2: Convert to fraction form
    14,270.20/21,429.60 = 10,139.20/x
  3. Step 3: Cross multiply
    14,270.20x = 21,429.60 × 10,139.20
  4. Step 4: Simplify right side
    14,270.20x = 217,279,000.32
  5. Step 5: Solve for x
    x = 217,279,000.32/14,270.20
  6. Step 6: Final answer
    x = 15,226.07

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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.