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Finding the Fourth Proportional to 21,383.34, 32,081.49 and 9,693.42

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Solution

The fourth proportional to 21,383.34, 32,081.49 and 9,693.42 is: 14,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.34 : 32,081.49 = 9,693.42 : x
  2. Step 2: Convert to fraction form
    21,383.34/32,081.49 = 9,693.42/x
  3. Step 3: Cross multiply
    21,383.34x = 32,081.49 × 9,693.42
  4. Step 4: Simplify right side
    21,383.34x = 310,979,356.80
  5. Step 5: Solve for x
    x = 310,979,356.80/21,383.34
  6. Step 6: Final answer
    x = 14,543.07

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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.