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Finding the Fourth Proportional to 13,016.76, 19,509.48 and 6,767.88

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Solution

The fourth proportional to 13,016.76, 19,509.48 and 6,767.88 is: 10,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.76 : 19,509.48 = 6,767.88 : x
  2. Step 2: Convert to fraction form
    13,016.76/19,509.48 = 6,767.88/x
  3. Step 3: Cross multiply
    13,016.76x = 19,509.48 × 6,767.88
  4. Step 4: Simplify right side
    13,016.76x = 132,037,819.50
  5. Step 5: Solve for x
    x = 132,037,819.50/13,016.76
  6. Step 6: Final answer
    x = 10,143.68

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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.