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Finding the Fourth Proportional to 14,323.25, 19,766.22 and 8,035.76

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Solution

The fourth proportional to 14,323.25, 19,766.22 and 8,035.76 is: 11,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.25 : 19,766.22 = 8,035.76 : x
  2. Step 2: Convert to fraction form
    14,323.25/19,766.22 = 8,035.76/x
  3. Step 3: Cross multiply
    14,323.25x = 19,766.22 × 8,035.76
  4. Step 4: Simplify right side
    14,323.25x = 158,836,600.03
  5. Step 5: Solve for x
    x = 158,836,600.03/14,323.25
  6. Step 6: Final answer
    x = 11,089.42

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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.