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Finding the Fourth Proportional to 34,154.40, 51,226.92 and 9,195.60

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Solution

The fourth proportional to 34,154.40, 51,226.92 and 9,195.60 is: 13,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.40 : 51,226.92 = 9,195.60 : x
  2. Step 2: Convert to fraction form
    34,154.40/51,226.92 = 9,195.60/x
  3. Step 3: Cross multiply
    34,154.40x = 51,226.92 × 9,195.60
  4. Step 4: Simplify right side
    34,154.40x = 471,062,265.55
  5. Step 5: Solve for x
    x = 471,062,265.55/34,154.40
  6. Step 6: Final answer
    x = 13,792.14

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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.