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Finding the Fourth Proportional to 22,132, 30,544.08 and 12,197.92

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Solution

The fourth proportional to 22,132, 30,544.08 and 12,197.92 is: 16,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132 : 30,544.08 = 12,197.92 : x
  2. Step 2: Convert to fraction form
    22,132/30,544.08 = 12,197.92/x
  3. Step 3: Cross multiply
    22,132x = 30,544.08 × 12,197.92
  4. Step 4: Simplify right side
    22,132x = 372,574,244.31
  5. Step 5: Solve for x
    x = 372,574,244.31/22,132
  6. Step 6: Final answer
    x = 16,834.19

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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.