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Finding the Fourth Proportional to 28,206.20, 42,309.30 and 7,146.20

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Solution

The fourth proportional to 28,206.20, 42,309.30 and 7,146.20 is: 10,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.20 : 42,309.30 = 7,146.20 : x
  2. Step 2: Convert to fraction form
    28,206.20/42,309.30 = 7,146.20/x
  3. Step 3: Cross multiply
    28,206.20x = 42,309.30 × 7,146.20
  4. Step 4: Simplify right side
    28,206.20x = 302,350,719.66
  5. Step 5: Solve for x
    x = 302,350,719.66/28,206.20
  6. Step 6: Final answer
    x = 10,719.30

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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.