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Finding the Fourth Proportional to 14,548.92, 21,822.34 and 5,187.87

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Solution

The fourth proportional to 14,548.92, 21,822.34 and 5,187.87 is: 7,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.92 : 21,822.34 = 5,187.87 : x
  2. Step 2: Convert to fraction form
    14,548.92/21,822.34 = 5,187.87/x
  3. Step 3: Cross multiply
    14,548.92x = 21,822.34 × 5,187.87
  4. Step 4: Simplify right side
    14,548.92x = 113,211,506.56
  5. Step 5: Solve for x
    x = 113,211,506.56/14,548.92
  6. Step 6: Final answer
    x = 7,781.44

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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.