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Finding the Fourth Proportional to 23,283.64, 34,932.27 and 7,488.32

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Solution

The fourth proportional to 23,283.64, 34,932.27 and 7,488.32 is: 11,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.64 : 34,932.27 = 7,488.32 : x
  2. Step 2: Convert to fraction form
    23,283.64/34,932.27 = 7,488.32/x
  3. Step 3: Cross multiply
    23,283.64x = 34,932.27 × 7,488.32
  4. Step 4: Simplify right side
    23,283.64x = 261,583,878.84
  5. Step 5: Solve for x
    x = 261,583,878.84/23,283.64
  6. Step 6: Final answer
    x = 11,234.66

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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.