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Finding the Fourth Proportional to 16,822.66, 25,237.98 and 5,135.14

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Solution

The fourth proportional to 16,822.66, 25,237.98 and 5,135.14 is: 7,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.66 : 25,237.98 = 5,135.14 : x
  2. Step 2: Convert to fraction form
    16,822.66/25,237.98 = 5,135.14/x
  3. Step 3: Cross multiply
    16,822.66x = 25,237.98 × 5,135.14
  4. Step 4: Simplify right side
    16,822.66x = 129,600,560.62
  5. Step 5: Solve for x
    x = 129,600,560.62/16,822.66
  6. Step 6: Final answer
    x = 7,703.93

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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.