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Finding the Fourth Proportional to 13,190.58, 19,785.71 and 3,956.50

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Solution

The fourth proportional to 13,190.58, 19,785.71 and 3,956.50 is: 5,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.58 : 19,785.71 = 3,956.50 : x
  2. Step 2: Convert to fraction form
    13,190.58/19,785.71 = 3,956.50/x
  3. Step 3: Cross multiply
    13,190.58x = 19,785.71 × 3,956.50
  4. Step 4: Simplify right side
    13,190.58x = 78,282,161.62
  5. Step 5: Solve for x
    x = 78,282,161.62/13,190.58
  6. Step 6: Final answer
    x = 5,934.70

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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.