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Finding the Fourth Proportional to 22,165.87, 30,589.65 and 12,094.87

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Solution

The fourth proportional to 22,165.87, 30,589.65 and 12,094.87 is: 16,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.87 : 30,589.65 = 12,094.87 : x
  2. Step 2: Convert to fraction form
    22,165.87/30,589.65 = 12,094.87/x
  3. Step 3: Cross multiply
    22,165.87x = 30,589.65 × 12,094.87
  4. Step 4: Simplify right side
    22,165.87x = 369,977,840.10
  5. Step 5: Solve for x
    x = 369,977,840.10/22,165.87
  6. Step 6: Final answer
    x = 16,691.33

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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.