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Finding the Fourth Proportional to 14,230, 21,347.44 and 5,344.56

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Solution

The fourth proportional to 14,230, 21,347.44 and 5,344.56 is: 8,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230 : 21,347.44 = 5,344.56 : x
  2. Step 2: Convert to fraction form
    14,230/21,347.44 = 5,344.56/x
  3. Step 3: Cross multiply
    14,230x = 21,347.44 × 5,344.56
  4. Step 4: Simplify right side
    14,230x = 114,092,673.93
  5. Step 5: Solve for x
    x = 114,092,673.93/14,230
  6. Step 6: Final answer
    x = 8,017.76

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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.