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Finding the Fourth Proportional to 15,674.88, 23,512.32 and 7,881.84

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Solution

The fourth proportional to 15,674.88, 23,512.32 and 7,881.84 is: 11,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.88 : 23,512.32 = 7,881.84 : x
  2. Step 2: Convert to fraction form
    15,674.88/23,512.32 = 7,881.84/x
  3. Step 3: Cross multiply
    15,674.88x = 23,512.32 × 7,881.84
  4. Step 4: Simplify right side
    15,674.88x = 185,320,344.27
  5. Step 5: Solve for x
    x = 185,320,344.27/15,674.88
  6. Step 6: Final answer
    x = 11,822.76

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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.