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Finding the Fourth Proportional to 22,896.36, 34,344.54 and 8,101.71

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Solution

The fourth proportional to 22,896.36, 34,344.54 and 8,101.71 is: 12,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.36 : 34,344.54 = 8,101.71 : x
  2. Step 2: Convert to fraction form
    22,896.36/34,344.54 = 8,101.71/x
  3. Step 3: Cross multiply
    22,896.36x = 34,344.54 × 8,101.71
  4. Step 4: Simplify right side
    22,896.36x = 278,249,503.16
  5. Step 5: Solve for x
    x = 278,249,503.16/22,896.36
  6. Step 6: Final answer
    x = 12,152.57

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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.