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Finding the Fourth Proportional to 16,426.71, 22,668.93 and 8,974.71

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Solution

The fourth proportional to 16,426.71, 22,668.93 and 8,974.71 is: 12,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.71 : 22,668.93 = 8,974.71 : x
  2. Step 2: Convert to fraction form
    16,426.71/22,668.93 = 8,974.71/x
  3. Step 3: Cross multiply
    16,426.71x = 22,668.93 × 8,974.71
  4. Step 4: Simplify right side
    16,426.71x = 203,447,072.76
  5. Step 5: Solve for x
    x = 203,447,072.76/16,426.71
  6. Step 6: Final answer
    x = 12,385.14

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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.