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Finding the Fourth Proportional to 16,047.76, 22,145.70 and 8,974.12

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Solution

The fourth proportional to 16,047.76, 22,145.70 and 8,974.12 is: 12,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.76 : 22,145.70 = 8,974.12 : x
  2. Step 2: Convert to fraction form
    16,047.76/22,145.70 = 8,974.12/x
  3. Step 3: Cross multiply
    16,047.76x = 22,145.70 × 8,974.12
  4. Step 4: Simplify right side
    16,047.76x = 198,738,169.28
  5. Step 5: Solve for x
    x = 198,738,169.28/16,047.76
  6. Step 6: Final answer
    x = 12,384.17

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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.