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Finding the Fourth Proportional to 22,317, 30,797.46 and 12,381

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Solution

The fourth proportional to 22,317, 30,797.46 and 12,381 is: 17,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,317 : 30,797.46 = 12,381 : x
  2. Step 2: Convert to fraction form
    22,317/30,797.46 = 12,381/x
  3. Step 3: Cross multiply
    22,317x = 30,797.46 × 12,381
  4. Step 4: Simplify right side
    22,317x = 381,303,352.26
  5. Step 5: Solve for x
    x = 381,303,352.26/22,317
  6. Step 6: Final answer
    x = 17,085.78

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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.