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Finding the Fourth Proportional to 23,009.56, 34,548.90 and 13,159.96

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Solution

The fourth proportional to 23,009.56, 34,548.90 and 13,159.96 is: 19,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.56 : 34,548.90 = 13,159.96 : x
  2. Step 2: Convert to fraction form
    23,009.56/34,548.90 = 13,159.96/x
  3. Step 3: Cross multiply
    23,009.56x = 34,548.90 × 13,159.96
  4. Step 4: Simplify right side
    23,009.56x = 454,662,142.04
  5. Step 5: Solve for x
    x = 454,662,142.04/23,009.56
  6. Step 6: Final answer
    x = 19,759.71

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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.