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Finding the Fourth Proportional to 11,031.20, 16,498.80 and 9,869.60

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Solution

The fourth proportional to 11,031.20, 16,498.80 and 9,869.60 is: 14,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.20 : 16,498.80 = 9,869.60 : x
  2. Step 2: Convert to fraction form
    11,031.20/16,498.80 = 9,869.60/x
  3. Step 3: Cross multiply
    11,031.20x = 16,498.80 × 9,869.60
  4. Step 4: Simplify right side
    11,031.20x = 162,836,556.48
  5. Step 5: Solve for x
    x = 162,836,556.48/11,031.20
  6. Step 6: Final answer
    x = 14,761.45

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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.