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Finding the Fourth Proportional to 10,128.80, 15,193.20 and 10,031.60

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Solution

The fourth proportional to 10,128.80, 15,193.20 and 10,031.60 is: 15,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.80 : 15,193.20 = 10,031.60 : x
  2. Step 2: Convert to fraction form
    10,128.80/15,193.20 = 10,031.60/x
  3. Step 3: Cross multiply
    10,128.80x = 15,193.20 × 10,031.60
  4. Step 4: Simplify right side
    10,128.80x = 152,412,105.12
  5. Step 5: Solve for x
    x = 152,412,105.12/10,128.80
  6. Step 6: Final answer
    x = 15,047.40

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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.