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Finding the Fourth Proportional to 12,776.68, 19,163.76 and 4,011.36

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Solution

The fourth proportional to 12,776.68, 19,163.76 and 4,011.36 is: 6,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.68 : 19,163.76 = 4,011.36 : x
  2. Step 2: Convert to fraction form
    12,776.68/19,163.76 = 4,011.36/x
  3. Step 3: Cross multiply
    12,776.68x = 19,163.76 × 4,011.36
  4. Step 4: Simplify right side
    12,776.68x = 76,872,740.31
  5. Step 5: Solve for x
    x = 76,872,740.31/12,776.68
  6. Step 6: Final answer
    x = 6,016.64

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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.