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Finding the Fourth Proportional to 14,644.50, 21,948.47 and 7,141.87

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Solution

The fourth proportional to 14,644.50, 21,948.47 and 7,141.87 is: 10,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.50 : 21,948.47 = 7,141.87 : x
  2. Step 2: Convert to fraction form
    14,644.50/21,948.47 = 7,141.87/x
  3. Step 3: Cross multiply
    14,644.50x = 21,948.47 × 7,141.87
  4. Step 4: Simplify right side
    14,644.50x = 156,753,137.95
  5. Step 5: Solve for x
    x = 156,753,137.95/14,644.50
  6. Step 6: Final answer
    x = 10,703.89

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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.