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Finding the Fourth Proportional to 20,277.64, 30,402.14 and 7,787.14

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Solution

The fourth proportional to 20,277.64, 30,402.14 and 7,787.14 is: 11,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.64 : 30,402.14 = 7,787.14 : x
  2. Step 2: Convert to fraction form
    20,277.64/30,402.14 = 7,787.14/x
  3. Step 3: Cross multiply
    20,277.64x = 30,402.14 × 7,787.14
  4. Step 4: Simplify right side
    20,277.64x = 236,745,605.54
  5. Step 5: Solve for x
    x = 236,745,605.54/20,277.64
  6. Step 6: Final answer
    x = 11,675.20

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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.