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Finding the Fourth Proportional to 18,094.32, 27,139.86 and 8,102.16

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Solution

The fourth proportional to 18,094.32, 27,139.86 and 8,102.16 is: 12,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,094.32 : 27,139.86 = 8,102.16 : x
  2. Step 2: Convert to fraction form
    18,094.32/27,139.86 = 8,102.16/x
  3. Step 3: Cross multiply
    18,094.32x = 27,139.86 × 8,102.16
  4. Step 4: Simplify right side
    18,094.32x = 219,891,488.10
  5. Step 5: Solve for x
    x = 219,891,488.10/18,094.32
  6. Step 6: Final answer
    x = 12,152.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.