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Finding the Fourth Proportional to 21,705.57, 32,560.99 and 6,123.20

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Solution

The fourth proportional to 21,705.57, 32,560.99 and 6,123.20 is: 9,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.57 : 32,560.99 = 6,123.20 : x
  2. Step 2: Convert to fraction form
    21,705.57/32,560.99 = 6,123.20/x
  3. Step 3: Cross multiply
    21,705.57x = 32,560.99 × 6,123.20
  4. Step 4: Simplify right side
    21,705.57x = 199,377,275.86
  5. Step 5: Solve for x
    x = 199,377,275.86/21,705.57
  6. Step 6: Final answer
    x = 9,185.54

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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.