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Finding the Fourth Proportional to 21,877.38, 32,822.37 and 7,085.97

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Solution

The fourth proportional to 21,877.38, 32,822.37 and 7,085.97 is: 10,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,877.38 : 32,822.37 = 7,085.97 : x
  2. Step 2: Convert to fraction form
    21,877.38/32,822.37 = 7,085.97/x
  3. Step 3: Cross multiply
    21,877.38x = 32,822.37 × 7,085.97
  4. Step 4: Simplify right side
    21,877.38x = 232,578,329.15
  5. Step 5: Solve for x
    x = 232,578,329.15/21,877.38
  6. Step 6: Final answer
    x = 10,631.00

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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.