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Finding the Fourth Proportional to 22,304.16, 30,780.17 and 12,232.01

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Solution

The fourth proportional to 22,304.16, 30,780.17 and 12,232.01 is: 16,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.16 : 30,780.17 = 12,232.01 : x
  2. Step 2: Convert to fraction form
    22,304.16/30,780.17 = 12,232.01/x
  3. Step 3: Cross multiply
    22,304.16x = 30,780.17 × 12,232.01
  4. Step 4: Simplify right side
    22,304.16x = 376,503,454.77
  5. Step 5: Solve for x
    x = 376,503,454.77/22,304.16
  6. Step 6: Final answer
    x = 16,880.41

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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.