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Finding the Fourth Proportional to 12,179.40, 18,268.35 and 7,500.30

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Solution

The fourth proportional to 12,179.40, 18,268.35 and 7,500.30 is: 11,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.40 : 18,268.35 = 7,500.30 : x
  2. Step 2: Convert to fraction form
    12,179.40/18,268.35 = 7,500.30/x
  3. Step 3: Cross multiply
    12,179.40x = 18,268.35 × 7,500.30
  4. Step 4: Simplify right side
    12,179.40x = 137,018,105.51
  5. Step 5: Solve for x
    x = 137,018,105.51/12,179.40
  6. Step 6: Final answer
    x = 11,249.99

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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.