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Finding the Fourth Proportional to 16,453.76, 22,706.71 and 9,001.76

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Solution

The fourth proportional to 16,453.76, 22,706.71 and 9,001.76 is: 12,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.76 : 22,706.71 = 9,001.76 : x
  2. Step 2: Convert to fraction form
    16,453.76/22,706.71 = 9,001.76/x
  3. Step 3: Cross multiply
    16,453.76x = 22,706.71 × 9,001.76
  4. Step 4: Simplify right side
    16,453.76x = 204,400,353.81
  5. Step 5: Solve for x
    x = 204,400,353.81/16,453.76
  6. Step 6: Final answer
    x = 12,422.71

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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.