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Finding the Fourth Proportional to 22,369.68, 30,870.22 and 12,299.16

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Solution

The fourth proportional to 22,369.68, 30,870.22 and 12,299.16 is: 16,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.68 : 30,870.22 = 12,299.16 : x
  2. Step 2: Convert to fraction form
    22,369.68/30,870.22 = 12,299.16/x
  3. Step 3: Cross multiply
    22,369.68x = 30,870.22 × 12,299.16
  4. Step 4: Simplify right side
    22,369.68x = 379,677,775.02
  5. Step 5: Solve for x
    x = 379,677,775.02/22,369.68
  6. Step 6: Final answer
    x = 16,972.87

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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.