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Finding the Fourth Proportional to 12,894.46, 19,344.10 and 5,103.88

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Solution

The fourth proportional to 12,894.46, 19,344.10 and 5,103.88 is: 7,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.46 : 19,344.10 = 5,103.88 : x
  2. Step 2: Convert to fraction form
    12,894.46/19,344.10 = 5,103.88/x
  3. Step 3: Cross multiply
    12,894.46x = 19,344.10 × 5,103.88
  4. Step 4: Simplify right side
    12,894.46x = 98,729,965.11
  5. Step 5: Solve for x
    x = 98,729,965.11/12,894.46
  6. Step 6: Final answer
    x = 7,656.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.