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Finding the Fourth Proportional to 12,866.24, 19,282.05 and 5,468.72

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Solution

The fourth proportional to 12,866.24, 19,282.05 and 5,468.72 is: 8,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.24 : 19,282.05 = 5,468.72 : x
  2. Step 2: Convert to fraction form
    12,866.24/19,282.05 = 5,468.72/x
  3. Step 3: Cross multiply
    12,866.24x = 19,282.05 × 5,468.72
  4. Step 4: Simplify right side
    12,866.24x = 105,448,036.07
  5. Step 5: Solve for x
    x = 105,448,036.07/12,866.24
  6. Step 6: Final answer
    x = 8,195.71

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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.