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Finding the Fourth Proportional to 16,071.25, 22,158.94 and 13,829.23

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Solution

The fourth proportional to 16,071.25, 22,158.94 and 13,829.23 is: 19,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.25 : 22,158.94 = 13,829.23 : x
  2. Step 2: Convert to fraction form
    16,071.25/22,158.94 = 13,829.23/x
  3. Step 3: Cross multiply
    16,071.25x = 22,158.94 × 13,829.23
  4. Step 4: Simplify right side
    16,071.25x = 306,441,133.53
  5. Step 5: Solve for x
    x = 306,441,133.53/16,071.25
  6. Step 6: Final answer
    x = 19,067.66

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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.