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Finding the Fourth Proportional to 13,863.40, 20,751.90 and 9,975.40

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Solution

The fourth proportional to 13,863.40, 20,751.90 and 9,975.40 is: 14,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.40 : 20,751.90 = 9,975.40 : x
  2. Step 2: Convert to fraction form
    13,863.40/20,751.90 = 9,975.40/x
  3. Step 3: Cross multiply
    13,863.40x = 20,751.90 × 9,975.40
  4. Step 4: Simplify right side
    13,863.40x = 207,008,503.26
  5. Step 5: Solve for x
    x = 207,008,503.26/13,863.40
  6. Step 6: Final answer
    x = 14,932.02

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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.