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Finding the Fourth Proportional to 16,235.82, 24,335.27 and 6,869.99

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Solution

The fourth proportional to 16,235.82, 24,335.27 and 6,869.99 is: 10,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.82 : 24,335.27 = 6,869.99 : x
  2. Step 2: Convert to fraction form
    16,235.82/24,335.27 = 6,869.99/x
  3. Step 3: Cross multiply
    16,235.82x = 24,335.27 × 6,869.99
  4. Step 4: Simplify right side
    16,235.82x = 167,182,905.52
  5. Step 5: Solve for x
    x = 167,182,905.52/16,235.82
  6. Step 6: Final answer
    x = 10,297.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.