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Finding the Fourth Proportional to 14,965.92, 22,424 and 9,104.80

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Solution

The fourth proportional to 14,965.92, 22,424 and 9,104.80 is: 13,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.92 : 22,424 = 9,104.80 : x
  2. Step 2: Convert to fraction form
    14,965.92/22,424 = 9,104.80/x
  3. Step 3: Cross multiply
    14,965.92x = 22,424 × 9,104.80
  4. Step 4: Simplify right side
    14,965.92x = 204,166,035.20
  5. Step 5: Solve for x
    x = 204,166,035.20/14,965.92
  6. Step 6: Final answer
    x = 13,642.06

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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.