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Finding the Fourth Proportional to 12,100.32, 18,138.24 and 4,700.16

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Solution

The fourth proportional to 12,100.32, 18,138.24 and 4,700.16 is: 7,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.32 : 18,138.24 = 4,700.16 : x
  2. Step 2: Convert to fraction form
    12,100.32/18,138.24 = 4,700.16/x
  3. Step 3: Cross multiply
    12,100.32x = 18,138.24 × 4,700.16
  4. Step 4: Simplify right side
    12,100.32x = 85,252,630.12
  5. Step 5: Solve for x
    x = 85,252,630.12/12,100.32
  6. Step 6: Final answer
    x = 7,045.49

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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.