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Finding the Fourth Proportional to 12,894.91, 19,343.35 and 5,499.40

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Solution

The fourth proportional to 12,894.91, 19,343.35 and 5,499.40 is: 8,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.91 : 19,343.35 = 5,499.40 : x
  2. Step 2: Convert to fraction form
    12,894.91/19,343.35 = 5,499.40/x
  3. Step 3: Cross multiply
    12,894.91x = 19,343.35 × 5,499.40
  4. Step 4: Simplify right side
    12,894.91x = 106,376,818.99
  5. Step 5: Solve for x
    x = 106,376,818.99/12,894.91
  6. Step 6: Final answer
    x = 8,249.52

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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.