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Finding the Fourth Proportional to 21,329.84, 31,999.44 and 6,539.87

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Solution

The fourth proportional to 21,329.84, 31,999.44 and 6,539.87 is: 9,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.84 : 31,999.44 = 6,539.87 : x
  2. Step 2: Convert to fraction form
    21,329.84/31,999.44 = 6,539.87/x
  3. Step 3: Cross multiply
    21,329.84x = 31,999.44 × 6,539.87
  4. Step 4: Simplify right side
    21,329.84x = 209,272,177.67
  5. Step 5: Solve for x
    x = 209,272,177.67/21,329.84
  6. Step 6: Final answer
    x = 9,811.24

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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.