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Finding the Fourth Proportional to 10,177.80, 15,266.70 and 9,157.20

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Solution

The fourth proportional to 10,177.80, 15,266.70 and 9,157.20 is: 13,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.80 : 15,266.70 = 9,157.20 : x
  2. Step 2: Convert to fraction form
    10,177.80/15,266.70 = 9,157.20/x
  3. Step 3: Cross multiply
    10,177.80x = 15,266.70 × 9,157.20
  4. Step 4: Simplify right side
    10,177.80x = 139,800,225.24
  5. Step 5: Solve for x
    x = 139,800,225.24/10,177.80
  6. Step 6: Final answer
    x = 13,735.80

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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.