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Finding the Fourth Proportional to 16,277.81, 24,397.81 and 7,494.27

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Solution

The fourth proportional to 16,277.81, 24,397.81 and 7,494.27 is: 11,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.81 : 24,397.81 = 7,494.27 : x
  2. Step 2: Convert to fraction form
    16,277.81/24,397.81 = 7,494.27/x
  3. Step 3: Cross multiply
    16,277.81x = 24,397.81 × 7,494.27
  4. Step 4: Simplify right side
    16,277.81x = 182,843,802.56
  5. Step 5: Solve for x
    x = 182,843,802.56/16,277.81
  6. Step 6: Final answer
    x = 11,232.70

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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.