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Finding the Fourth Proportional to 21,328.68, 31,999.16 and 6,539.77

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Solution

The fourth proportional to 21,328.68, 31,999.16 and 6,539.77 is: 9,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.68 : 31,999.16 = 6,539.77 : x
  2. Step 2: Convert to fraction form
    21,328.68/31,999.16 = 6,539.77/x
  3. Step 3: Cross multiply
    21,328.68x = 31,999.16 × 6,539.77
  4. Step 4: Simplify right side
    21,328.68x = 209,267,226.59
  5. Step 5: Solve for x
    x = 209,267,226.59/21,328.68
  6. Step 6: Final answer
    x = 9,811.54

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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.