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Finding the Fourth Proportional to 21,403.57, 32,105.26 and 5,821.15

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Solution

The fourth proportional to 21,403.57, 32,105.26 and 5,821.15 is: 8,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.57 : 32,105.26 = 5,821.15 : x
  2. Step 2: Convert to fraction form
    21,403.57/32,105.26 = 5,821.15/x
  3. Step 3: Cross multiply
    21,403.57x = 32,105.26 × 5,821.15
  4. Step 4: Simplify right side
    21,403.57x = 186,889,534.25
  5. Step 5: Solve for x
    x = 186,889,534.25/21,403.57
  6. Step 6: Final answer
    x = 8,731.70

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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.