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Finding the Fourth Proportional to 12,585.20, 18,877.80 and 11,224.40

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Solution

The fourth proportional to 12,585.20, 18,877.80 and 11,224.40 is: 16,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.20 : 18,877.80 = 11,224.40 : x
  2. Step 2: Convert to fraction form
    12,585.20/18,877.80 = 11,224.40/x
  3. Step 3: Cross multiply
    12,585.20x = 18,877.80 × 11,224.40
  4. Step 4: Simplify right side
    12,585.20x = 211,891,978.32
  5. Step 5: Solve for x
    x = 211,891,978.32/12,585.20
  6. Step 6: Final answer
    x = 16,836.60

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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.