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Finding the Fourth Proportional to 20,952.60, 31,439.14 and 9,860.40

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Solution

The fourth proportional to 20,952.60, 31,439.14 and 9,860.40 is: 14,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.60 : 31,439.14 = 9,860.40 : x
  2. Step 2: Convert to fraction form
    20,952.60/31,439.14 = 9,860.40/x
  3. Step 3: Cross multiply
    20,952.60x = 31,439.14 × 9,860.40
  4. Step 4: Simplify right side
    20,952.60x = 310,002,496.06
  5. Step 5: Solve for x
    x = 310,002,496.06/20,952.60
  6. Step 6: Final answer
    x = 14,795.42

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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.