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Finding the Fourth Proportional to 12,894.40, 19,343.60 and 5,498.88

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Solution

The fourth proportional to 12,894.40, 19,343.60 and 5,498.88 is: 8,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.40 : 19,343.60 = 5,498.88 : x
  2. Step 2: Convert to fraction form
    12,894.40/19,343.60 = 5,498.88/x
  3. Step 3: Cross multiply
    12,894.40x = 19,343.60 × 5,498.88
  4. Step 4: Simplify right side
    12,894.40x = 106,368,135.17
  5. Step 5: Solve for x
    x = 106,368,135.17/12,894.40
  6. Step 6: Final answer
    x = 8,249.17

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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.