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Finding the Fourth Proportional to 12,032.40, 18,048.60 and 10,131.60

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Solution

The fourth proportional to 12,032.40, 18,048.60 and 10,131.60 is: 15,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.40 : 18,048.60 = 10,131.60 : x
  2. Step 2: Convert to fraction form
    12,032.40/18,048.60 = 10,131.60/x
  3. Step 3: Cross multiply
    12,032.40x = 18,048.60 × 10,131.60
  4. Step 4: Simplify right side
    12,032.40x = 182,861,195.76
  5. Step 5: Solve for x
    x = 182,861,195.76/12,032.40
  6. Step 6: Final answer
    x = 15,197.40

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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.