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Finding the Fourth Proportional to 12,140.48, 18,217.20 and 11,259.20

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Solution

The fourth proportional to 12,140.48, 18,217.20 and 11,259.20 is: 16,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.48 : 18,217.20 = 11,259.20 : x
  2. Step 2: Convert to fraction form
    12,140.48/18,217.20 = 11,259.20/x
  3. Step 3: Cross multiply
    12,140.48x = 18,217.20 × 11,259.20
  4. Step 4: Simplify right side
    12,140.48x = 205,111,098.24
  5. Step 5: Solve for x
    x = 205,111,098.24/12,140.48
  6. Step 6: Final answer
    x = 16,894.81

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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.