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Finding the Fourth Proportional to 14,644.08, 21,972.29 and 7,625.90

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Solution

The fourth proportional to 14,644.08, 21,972.29 and 7,625.90 is: 11,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.08 : 21,972.29 = 7,625.90 : x
  2. Step 2: Convert to fraction form
    14,644.08/21,972.29 = 7,625.90/x
  3. Step 3: Cross multiply
    14,644.08x = 21,972.29 × 7,625.90
  4. Step 4: Simplify right side
    14,644.08x = 167,558,503.11
  5. Step 5: Solve for x
    x = 167,558,503.11/14,644.08
  6. Step 6: Final answer
    x = 11,442.06

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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.