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Finding the Fourth Proportional to 12,139.60, 18,223.80 and 6,878.80

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Solution

The fourth proportional to 12,139.60, 18,223.80 and 6,878.80 is: 10,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.60 : 18,223.80 = 6,878.80 : x
  2. Step 2: Convert to fraction form
    12,139.60/18,223.80 = 6,878.80/x
  3. Step 3: Cross multiply
    12,139.60x = 18,223.80 × 6,878.80
  4. Step 4: Simplify right side
    12,139.60x = 125,357,875.44
  5. Step 5: Solve for x
    x = 125,357,875.44/12,139.60
  6. Step 6: Final answer
    x = 10,326.36

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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.