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Finding the Fourth Proportional to 21,374.52, 32,061.82 and 8,233.08

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Solution

The fourth proportional to 21,374.52, 32,061.82 and 8,233.08 is: 12,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.52 : 32,061.82 = 8,233.08 : x
  2. Step 2: Convert to fraction form
    21,374.52/32,061.82 = 8,233.08/x
  3. Step 3: Cross multiply
    21,374.52x = 32,061.82 × 8,233.08
  4. Step 4: Simplify right side
    21,374.52x = 263,967,529.01
  5. Step 5: Solve for x
    x = 263,967,529.01/21,374.52
  6. Step 6: Final answer
    x = 12,349.64

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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.