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Finding the Fourth Proportional to 23,932.66, 35,888.56 and 7,288.78

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Solution

The fourth proportional to 23,932.66, 35,888.56 and 7,288.78 is: 10,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.66 : 35,888.56 = 7,288.78 : x
  2. Step 2: Convert to fraction form
    23,932.66/35,888.56 = 7,288.78/x
  3. Step 3: Cross multiply
    23,932.66x = 35,888.56 × 7,288.78
  4. Step 4: Simplify right side
    23,932.66x = 261,583,710.41
  5. Step 5: Solve for x
    x = 261,583,710.41/23,932.66
  6. Step 6: Final answer
    x = 10,929.99

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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.