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Finding the Fourth Proportional to 13,138.07, 19,691.53 and 6,894.70

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Solution

The fourth proportional to 13,138.07, 19,691.53 and 6,894.70 is: 10,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.07 : 19,691.53 = 6,894.70 : x
  2. Step 2: Convert to fraction form
    13,138.07/19,691.53 = 6,894.70/x
  3. Step 3: Cross multiply
    13,138.07x = 19,691.53 × 6,894.70
  4. Step 4: Simplify right side
    13,138.07x = 135,767,125.43
  5. Step 5: Solve for x
    x = 135,767,125.43/13,138.07
  6. Step 6: Final answer
    x = 10,333.88

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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.