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Finding the Fourth Proportional to 20,462.40, 30,675.60 and 9,927.12

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Solution

The fourth proportional to 20,462.40, 30,675.60 and 9,927.12 is: 14,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.40 : 30,675.60 = 9,927.12 : x
  2. Step 2: Convert to fraction form
    20,462.40/30,675.60 = 9,927.12/x
  3. Step 3: Cross multiply
    20,462.40x = 30,675.60 × 9,927.12
  4. Step 4: Simplify right side
    20,462.40x = 304,520,362.27
  5. Step 5: Solve for x
    x = 304,520,362.27/20,462.40
  6. Step 6: Final answer
    x = 14,881.95

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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.