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Finding the Fourth Proportional to 22,097.64, 30,494.16 and 12,025.86

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Solution

The fourth proportional to 22,097.64, 30,494.16 and 12,025.86 is: 16,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.64 : 30,494.16 = 12,025.86 : x
  2. Step 2: Convert to fraction form
    22,097.64/30,494.16 = 12,025.86/x
  3. Step 3: Cross multiply
    22,097.64x = 30,494.16 × 12,025.86
  4. Step 4: Simplify right side
    22,097.64x = 366,718,548.30
  5. Step 5: Solve for x
    x = 366,718,548.30/22,097.64
  6. Step 6: Final answer
    x = 16,595.37

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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.