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Finding the Fourth Proportional to 23,228.25, 32,055 and 12,618.06

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Solution

The fourth proportional to 23,228.25, 32,055 and 12,618.06 is: 17,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.25 : 32,055 = 12,618.06 : x
  2. Step 2: Convert to fraction form
    23,228.25/32,055 = 12,618.06/x
  3. Step 3: Cross multiply
    23,228.25x = 32,055 × 12,618.06
  4. Step 4: Simplify right side
    23,228.25x = 404,471,913.30
  5. Step 5: Solve for x
    x = 404,471,913.30/23,228.25
  6. Step 6: Final answer
    x = 17,412.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.