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Finding the Fourth Proportional to 12,314.80, 18,439.80 and 9,701.20

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Solution

The fourth proportional to 12,314.80, 18,439.80 and 9,701.20 is: 14,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.80 : 18,439.80 = 9,701.20 : x
  2. Step 2: Convert to fraction form
    12,314.80/18,439.80 = 9,701.20/x
  3. Step 3: Cross multiply
    12,314.80x = 18,439.80 × 9,701.20
  4. Step 4: Simplify right side
    12,314.80x = 178,888,187.76
  5. Step 5: Solve for x
    x = 178,888,187.76/12,314.80
  6. Step 6: Final answer
    x = 14,526.28

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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.