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Finding the Fourth Proportional to 20,178.12, 30,265.95 and 9,655.62

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Solution

The fourth proportional to 20,178.12, 30,265.95 and 9,655.62 is: 14,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.12 : 30,265.95 = 9,655.62 : x
  2. Step 2: Convert to fraction form
    20,178.12/30,265.95 = 9,655.62/x
  3. Step 3: Cross multiply
    20,178.12x = 30,265.95 × 9,655.62
  4. Step 4: Simplify right side
    20,178.12x = 292,236,512.14
  5. Step 5: Solve for x
    x = 292,236,512.14/20,178.12
  6. Step 6: Final answer
    x = 14,482.84

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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.