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Finding the Fourth Proportional to 22,301.86, 30,776.88 and 12,230.14

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Solution

The fourth proportional to 22,301.86, 30,776.88 and 12,230.14 is: 16,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.86 : 30,776.88 = 12,230.14 : x
  2. Step 2: Convert to fraction form
    22,301.86/30,776.88 = 12,230.14/x
  3. Step 3: Cross multiply
    22,301.86x = 30,776.88 × 12,230.14
  4. Step 4: Simplify right side
    22,301.86x = 376,405,551.16
  5. Step 5: Solve for x
    x = 376,405,551.16/22,301.86
  6. Step 6: Final answer
    x = 16,877.76

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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.