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Finding the Fourth Proportional to 23,042.34, 34,570.53 and 11,956.98

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Solution

The fourth proportional to 23,042.34, 34,570.53 and 11,956.98 is: 17,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.34 : 34,570.53 = 11,956.98 : x
  2. Step 2: Convert to fraction form
    23,042.34/34,570.53 = 11,956.98/x
  3. Step 3: Cross multiply
    23,042.34x = 34,570.53 × 11,956.98
  4. Step 4: Simplify right side
    23,042.34x = 413,359,135.80
  5. Step 5: Solve for x
    x = 413,359,135.80/23,042.34
  6. Step 6: Final answer
    x = 17,939.11

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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.