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Finding the Fourth Proportional to 16,054.81, 24,071.97 and 7,718.24

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Solution

The fourth proportional to 16,054.81, 24,071.97 and 7,718.24 is: 11,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.81 : 24,071.97 = 7,718.24 : x
  2. Step 2: Convert to fraction form
    16,054.81/24,071.97 = 7,718.24/x
  3. Step 3: Cross multiply
    16,054.81x = 24,071.97 × 7,718.24
  4. Step 4: Simplify right side
    16,054.81x = 185,793,241.73
  5. Step 5: Solve for x
    x = 185,793,241.73/16,054.81
  6. Step 6: Final answer
    x = 11,572.43

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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.