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Finding the Fourth Proportional to 23,194.68, 34,798.50 and 9,146.04

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Solution

The fourth proportional to 23,194.68, 34,798.50 and 9,146.04 is: 13,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.68 : 34,798.50 = 9,146.04 : x
  2. Step 2: Convert to fraction form
    23,194.68/34,798.50 = 9,146.04/x
  3. Step 3: Cross multiply
    23,194.68x = 34,798.50 × 9,146.04
  4. Step 4: Simplify right side
    23,194.68x = 318,268,472.94
  5. Step 5: Solve for x
    x = 318,268,472.94/23,194.68
  6. Step 6: Final answer
    x = 13,721.62

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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.