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Finding the Fourth Proportional to 26,691.30, 40,036.50 and 7,971.42

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Solution

The fourth proportional to 26,691.30, 40,036.50 and 7,971.42 is: 11,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,691.30 : 40,036.50 = 7,971.42 : x
  2. Step 2: Convert to fraction form
    26,691.30/40,036.50 = 7,971.42/x
  3. Step 3: Cross multiply
    26,691.30x = 40,036.50 × 7,971.42
  4. Step 4: Simplify right side
    26,691.30x = 319,147,756.83
  5. Step 5: Solve for x
    x = 319,147,756.83/26,691.30
  6. Step 6: Final answer
    x = 11,957.00

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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.