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Finding the Fourth Proportional to 21,876.90, 32,822.16 and 7,837.05

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Solution

The fourth proportional to 21,876.90, 32,822.16 and 7,837.05 is: 11,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.90 : 32,822.16 = 7,837.05 : x
  2. Step 2: Convert to fraction form
    21,876.90/32,822.16 = 7,837.05/x
  3. Step 3: Cross multiply
    21,876.90x = 32,822.16 × 7,837.05
  4. Step 4: Simplify right side
    21,876.90x = 257,228,923.72
  5. Step 5: Solve for x
    x = 257,228,923.72/21,876.90
  6. Step 6: Final answer
    x = 11,758.01

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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.