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Finding the Fourth Proportional to 23,409, 32,304.42 and 12,798.71

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Solution

The fourth proportional to 23,409, 32,304.42 and 12,798.71 is: 17,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 32,304.42 = 12,798.71 : x
  2. Step 2: Convert to fraction form
    23,409/32,304.42 = 12,798.71/x
  3. Step 3: Cross multiply
    23,409x = 32,304.42 × 12,798.71
  4. Step 4: Simplify right side
    23,409x = 413,454,862.92
  5. Step 5: Solve for x
    x = 413,454,862.92/23,409
  6. Step 6: Final answer
    x = 17,662.22

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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.