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Finding the Fourth Proportional to 21,705.96, 32,559.42 and 6,123.24

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Solution

The fourth proportional to 21,705.96, 32,559.42 and 6,123.24 is: 9,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.96 : 32,559.42 = 6,123.24 : x
  2. Step 2: Convert to fraction form
    21,705.96/32,559.42 = 6,123.24/x
  3. Step 3: Cross multiply
    21,705.96x = 32,559.42 × 6,123.24
  4. Step 4: Simplify right side
    21,705.96x = 199,369,142.92
  5. Step 5: Solve for x
    x = 199,369,142.92/21,705.96
  6. Step 6: Final answer
    x = 9,185.00

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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.