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Finding the Fourth Proportional to 10,127.80, 15,191.70 and 9,220.60

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Solution

The fourth proportional to 10,127.80, 15,191.70 and 9,220.60 is: 13,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.80 : 15,191.70 = 9,220.60 : x
  2. Step 2: Convert to fraction form
    10,127.80/15,191.70 = 9,220.60/x
  3. Step 3: Cross multiply
    10,127.80x = 15,191.70 × 9,220.60
  4. Step 4: Simplify right side
    10,127.80x = 140,076,589.02
  5. Step 5: Solve for x
    x = 140,076,589.02/10,127.80
  6. Step 6: Final answer
    x = 13,830.90

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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.