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Finding the Fourth Proportional to 12,199.14, 18,301.48 and 4,407.95

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Solution

The fourth proportional to 12,199.14, 18,301.48 and 4,407.95 is: 6,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.14 : 18,301.48 = 4,407.95 : x
  2. Step 2: Convert to fraction form
    12,199.14/18,301.48 = 4,407.95/x
  3. Step 3: Cross multiply
    12,199.14x = 18,301.48 × 4,407.95
  4. Step 4: Simplify right side
    12,199.14x = 80,672,043.50
  5. Step 5: Solve for x
    x = 80,672,043.50/12,199.14
  6. Step 6: Final answer
    x = 6,612.93

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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.