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Finding the Fourth Proportional to 12,023.76, 16,616.76 and 10,274.16

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Solution

The fourth proportional to 12,023.76, 16,616.76 and 10,274.16 is: 14,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.76 : 16,616.76 = 10,274.16 : x
  2. Step 2: Convert to fraction form
    12,023.76/16,616.76 = 10,274.16/x
  3. Step 3: Cross multiply
    12,023.76x = 16,616.76 × 10,274.16
  4. Step 4: Simplify right side
    12,023.76x = 170,723,250.92
  5. Step 5: Solve for x
    x = 170,723,250.92/12,023.76
  6. Step 6: Final answer
    x = 14,198.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.