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Finding the Fourth Proportional to 12,031.60, 18,047.40 and 9,115.60

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Solution

The fourth proportional to 12,031.60, 18,047.40 and 9,115.60 is: 13,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.60 : 18,047.40 = 9,115.60 : x
  2. Step 2: Convert to fraction form
    12,031.60/18,047.40 = 9,115.60/x
  3. Step 3: Cross multiply
    12,031.60x = 18,047.40 × 9,115.60
  4. Step 4: Simplify right side
    12,031.60x = 164,512,879.44
  5. Step 5: Solve for x
    x = 164,512,879.44/12,031.60
  6. Step 6: Final answer
    x = 13,673.40

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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.