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Finding the Fourth Proportional to 22,965.60, 34,448.40 and 9,819.30

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Solution

The fourth proportional to 22,965.60, 34,448.40 and 9,819.30 is: 14,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.60 : 34,448.40 = 9,819.30 : x
  2. Step 2: Convert to fraction form
    22,965.60/34,448.40 = 9,819.30/x
  3. Step 3: Cross multiply
    22,965.60x = 34,448.40 × 9,819.30
  4. Step 4: Simplify right side
    22,965.60x = 338,259,174.12
  5. Step 5: Solve for x
    x = 338,259,174.12/22,965.60
  6. Step 6: Final answer
    x = 14,728.95

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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.