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Finding the Fourth Proportional to 21,684.85, 32,476.75 and 21,086.29

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Solution

The fourth proportional to 21,684.85, 32,476.75 and 21,086.29 is: 31,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.85 : 32,476.75 = 21,086.29 : x
  2. Step 2: Convert to fraction form
    21,684.85/32,476.75 = 21,086.29/x
  3. Step 3: Cross multiply
    21,684.85x = 32,476.75 × 21,086.29
  4. Step 4: Simplify right side
    21,684.85x = 684,814,006.37
  5. Step 5: Solve for x
    x = 684,814,006.37/21,684.85
  6. Step 6: Final answer
    x = 31,580.30

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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.