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Finding the Fourth Proportional to 12,894.66, 19,342.97 and 5,499.15

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Solution

The fourth proportional to 12,894.66, 19,342.97 and 5,499.15 is: 8,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.66 : 19,342.97 = 5,499.15 : x
  2. Step 2: Convert to fraction form
    12,894.66/19,342.97 = 5,499.15/x
  3. Step 3: Cross multiply
    12,894.66x = 19,342.97 × 5,499.15
  4. Step 4: Simplify right side
    12,894.66x = 106,369,893.48
  5. Step 5: Solve for x
    x = 106,369,893.48/12,894.66
  6. Step 6: Final answer
    x = 8,249.14

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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.