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Finding the Fourth Proportional to 22,381.81, 30,886.24 and 12,310.24

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Solution

The fourth proportional to 22,381.81, 30,886.24 and 12,310.24 is: 16,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.81 : 30,886.24 = 12,310.24 : x
  2. Step 2: Convert to fraction form
    22,381.81/30,886.24 = 12,310.24/x
  3. Step 3: Cross multiply
    22,381.81x = 30,886.24 × 12,310.24
  4. Step 4: Simplify right side
    22,381.81x = 380,217,027.10
  5. Step 5: Solve for x
    x = 380,217,027.10/22,381.81
  6. Step 6: Final answer
    x = 16,987.77

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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.