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Finding the Fourth Proportional to 12,490.98, 18,730.14 and 4,168.02

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Solution

The fourth proportional to 12,490.98, 18,730.14 and 4,168.02 is: 6,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.98 : 18,730.14 = 4,168.02 : x
  2. Step 2: Convert to fraction form
    12,490.98/18,730.14 = 4,168.02/x
  3. Step 3: Cross multiply
    12,490.98x = 18,730.14 × 4,168.02
  4. Step 4: Simplify right side
    12,490.98x = 78,067,598.12
  5. Step 5: Solve for x
    x = 78,067,598.12/12,490.98
  6. Step 6: Final answer
    x = 6,249.92

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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.