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Finding the Fourth Proportional to 21,317.53, 31,970.84 and 6,321.14

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Solution

The fourth proportional to 21,317.53, 31,970.84 and 6,321.14 is: 9,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,317.53 : 31,970.84 = 6,321.14 : x
  2. Step 2: Convert to fraction form
    21,317.53/31,970.84 = 6,321.14/x
  3. Step 3: Cross multiply
    21,317.53x = 31,970.84 × 6,321.14
  4. Step 4: Simplify right side
    21,317.53x = 202,092,155.56
  5. Step 5: Solve for x
    x = 202,092,155.56/21,317.53
  6. Step 6: Final answer
    x = 9,480.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.