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Finding the Fourth Proportional to 22,733.04, 31,375.88 and 12,797.04

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Solution

The fourth proportional to 22,733.04, 31,375.88 and 12,797.04 is: 17,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.04 : 31,375.88 = 12,797.04 : x
  2. Step 2: Convert to fraction form
    22,733.04/31,375.88 = 12,797.04/x
  3. Step 3: Cross multiply
    22,733.04x = 31,375.88 × 12,797.04
  4. Step 4: Simplify right side
    22,733.04x = 401,518,391.40
  5. Step 5: Solve for x
    x = 401,518,391.40/22,733.04
  6. Step 6: Final answer
    x = 17,662.33

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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.