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Finding the Fourth Proportional to 20,304.79, 30,442.70 and 7,814.28

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Solution

The fourth proportional to 20,304.79, 30,442.70 and 7,814.28 is: 11,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.79 : 30,442.70 = 7,814.28 : x
  2. Step 2: Convert to fraction form
    20,304.79/30,442.70 = 7,814.28/x
  3. Step 3: Cross multiply
    20,304.79x = 30,442.70 × 7,814.28
  4. Step 4: Simplify right side
    20,304.79x = 237,887,915.45
  5. Step 5: Solve for x
    x = 237,887,915.45/20,304.79
  6. Step 6: Final answer
    x = 11,715.85

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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.