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Finding the Fourth Proportional to 13,785.80, 20,678.70 and 12,288.20

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Solution

The fourth proportional to 13,785.80, 20,678.70 and 12,288.20 is: 18,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.80 : 20,678.70 = 12,288.20 : x
  2. Step 2: Convert to fraction form
    13,785.80/20,678.70 = 12,288.20/x
  3. Step 3: Cross multiply
    13,785.80x = 20,678.70 × 12,288.20
  4. Step 4: Simplify right side
    13,785.80x = 254,104,001.34
  5. Step 5: Solve for x
    x = 254,104,001.34/13,785.80
  6. Step 6: Final answer
    x = 18,432.30

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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.