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Finding the Fourth Proportional to 13,125.80, 19,688.70 and 12,204.20

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Solution

The fourth proportional to 13,125.80, 19,688.70 and 12,204.20 is: 18,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.80 : 19,688.70 = 12,204.20 : x
  2. Step 2: Convert to fraction form
    13,125.80/19,688.70 = 12,204.20/x
  3. Step 3: Cross multiply
    13,125.80x = 19,688.70 × 12,204.20
  4. Step 4: Simplify right side
    13,125.80x = 240,284,832.54
  5. Step 5: Solve for x
    x = 240,284,832.54/13,125.80
  6. Step 6: Final answer
    x = 18,306.30

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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.