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Finding the Fourth Proportional to 21,329.94, 31,999.50 and 6,539.88

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Solution

The fourth proportional to 21,329.94, 31,999.50 and 6,539.88 is: 9,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.94 : 31,999.50 = 6,539.88 : x
  2. Step 2: Convert to fraction form
    21,329.94/31,999.50 = 6,539.88/x
  3. Step 3: Cross multiply
    21,329.94x = 31,999.50 × 6,539.88
  4. Step 4: Simplify right side
    21,329.94x = 209,272,890.06
  5. Step 5: Solve for x
    x = 209,272,890.06/21,329.94
  6. Step 6: Final answer
    x = 9,811.23

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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.