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Finding the Fourth Proportional to 16,228.51, 24,331.24 and 7,217.69

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Solution

The fourth proportional to 16,228.51, 24,331.24 and 7,217.69 is: 10,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.51 : 24,331.24 = 7,217.69 : x
  2. Step 2: Convert to fraction form
    16,228.51/24,331.24 = 7,217.69/x
  3. Step 3: Cross multiply
    16,228.51x = 24,331.24 × 7,217.69
  4. Step 4: Simplify right side
    16,228.51x = 175,615,347.64
  5. Step 5: Solve for x
    x = 175,615,347.64/16,228.51
  6. Step 6: Final answer
    x = 10,821.41

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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.