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Finding the Fourth Proportional to 15,952.46, 23,932.32 and 8,054.66

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Solution

The fourth proportional to 15,952.46, 23,932.32 and 8,054.66 is: 12,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.46 : 23,932.32 = 8,054.66 : x
  2. Step 2: Convert to fraction form
    15,952.46/23,932.32 = 8,054.66/x
  3. Step 3: Cross multiply
    15,952.46x = 23,932.32 × 8,054.66
  4. Step 4: Simplify right side
    15,952.46x = 192,766,580.95
  5. Step 5: Solve for x
    x = 192,766,580.95/15,952.46
  6. Step 6: Final answer
    x = 12,083.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.