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Finding the Fourth Proportional to 21,321.58, 31,993.17 and 14,381.50

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Solution

The fourth proportional to 21,321.58, 31,993.17 and 14,381.50 is: 21,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.58 : 31,993.17 = 14,381.50 : x
  2. Step 2: Convert to fraction form
    21,321.58/31,993.17 = 14,381.50/x
  3. Step 3: Cross multiply
    21,321.58x = 31,993.17 × 14,381.50
  4. Step 4: Simplify right side
    21,321.58x = 460,109,774.36
  5. Step 5: Solve for x
    x = 460,109,774.36/21,321.58
  6. Step 6: Final answer
    x = 21,579.53

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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.