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Finding the Fourth Proportional to 14,473.54, 19,972.34 and 8,422.84

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Solution

The fourth proportional to 14,473.54, 19,972.34 and 8,422.84 is: 11,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.54 : 19,972.34 = 8,422.84 : x
  2. Step 2: Convert to fraction form
    14,473.54/19,972.34 = 8,422.84/x
  3. Step 3: Cross multiply
    14,473.54x = 19,972.34 × 8,422.84
  4. Step 4: Simplify right side
    14,473.54x = 168,223,824.25
  5. Step 5: Solve for x
    x = 168,223,824.25/14,473.54
  6. Step 6: Final answer
    x = 11,622.85

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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.