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Finding the Fourth Proportional to 22,920, 31,622.49 and 12,847.04

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Solution

The fourth proportional to 22,920, 31,622.49 and 12,847.04 is: 17,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920 : 31,622.49 = 12,847.04 : x
  2. Step 2: Convert to fraction form
    22,920/31,622.49 = 12,847.04/x
  3. Step 3: Cross multiply
    22,920x = 31,622.49 × 12,847.04
  4. Step 4: Simplify right side
    22,920x = 406,255,235.82
  5. Step 5: Solve for x
    x = 406,255,235.82/22,920
  6. Step 6: Final answer
    x = 17,724.92

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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.