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Finding the Fourth Proportional to 14,323.69, 19,766.76 and 8,036.07

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Solution

The fourth proportional to 14,323.69, 19,766.76 and 8,036.07 is: 11,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.69 : 19,766.76 = 8,036.07 : x
  2. Step 2: Convert to fraction form
    14,323.69/19,766.76 = 8,036.07/x
  3. Step 3: Cross multiply
    14,323.69x = 19,766.76 × 8,036.07
  4. Step 4: Simplify right side
    14,323.69x = 158,847,067.03
  5. Step 5: Solve for x
    x = 158,847,067.03/14,323.69
  6. Step 6: Final answer
    x = 11,089.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.