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Finding the Fourth Proportional to 14,578.96, 21,868.54 and 6,251.96

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Solution

The fourth proportional to 14,578.96, 21,868.54 and 6,251.96 is: 9,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.96 : 21,868.54 = 6,251.96 : x
  2. Step 2: Convert to fraction form
    14,578.96/21,868.54 = 6,251.96/x
  3. Step 3: Cross multiply
    14,578.96x = 21,868.54 × 6,251.96
  4. Step 4: Simplify right side
    14,578.96x = 136,721,237.34
  5. Step 5: Solve for x
    x = 136,721,237.34/14,578.96
  6. Step 6: Final answer
    x = 9,377.98

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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.