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Finding the Fourth Proportional to 21,876.24, 32,810.70 and 7,083.02

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Solution

The fourth proportional to 21,876.24, 32,810.70 and 7,083.02 is: 10,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.24 : 32,810.70 = 7,083.02 : x
  2. Step 2: Convert to fraction form
    21,876.24/32,810.70 = 7,083.02/x
  3. Step 3: Cross multiply
    21,876.24x = 32,810.70 × 7,083.02
  4. Step 4: Simplify right side
    21,876.24x = 232,398,844.31
  5. Step 5: Solve for x
    x = 232,398,844.31/21,876.24
  6. Step 6: Final answer
    x = 10,623.34

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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.