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Finding the Fourth Proportional to 23,229, 32,056.62 and 12,618.63

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Solution

The fourth proportional to 23,229, 32,056.62 and 12,618.63 is: 17,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229 : 32,056.62 = 12,618.63 : x
  2. Step 2: Convert to fraction form
    23,229/32,056.62 = 12,618.63/x
  3. Step 3: Cross multiply
    23,229x = 32,056.62 × 12,618.63
  4. Step 4: Simplify right side
    23,229x = 404,510,626.83
  5. Step 5: Solve for x
    x = 404,510,626.83/23,229
  6. Step 6: Final answer
    x = 17,414.04

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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.