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Finding the Fourth Proportional to 20,295.28, 30,442.86 and 7,146.16

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Solution

The fourth proportional to 20,295.28, 30,442.86 and 7,146.16 is: 10,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.28 : 30,442.86 = 7,146.16 : x
  2. Step 2: Convert to fraction form
    20,295.28/30,442.86 = 7,146.16/x
  3. Step 3: Cross multiply
    20,295.28x = 30,442.86 × 7,146.16
  4. Step 4: Simplify right side
    20,295.28x = 217,549,548.42
  5. Step 5: Solve for x
    x = 217,549,548.42/20,295.28
  6. Step 6: Final answer
    x = 10,719.22

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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.