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Finding the Fourth Proportional to 22,965.06, 34,451.20 and 9,817.50

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Solution

The fourth proportional to 22,965.06, 34,451.20 and 9,817.50 is: 14,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.06 : 34,451.20 = 9,817.50 : x
  2. Step 2: Convert to fraction form
    22,965.06/34,451.20 = 9,817.50/x
  3. Step 3: Cross multiply
    22,965.06x = 34,451.20 × 9,817.50
  4. Step 4: Simplify right side
    22,965.06x = 338,224,656
  5. Step 5: Solve for x
    x = 338,224,656/22,965.06
  6. Step 6: Final answer
    x = 14,727.79

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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.