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Finding the Fourth Proportional to 21,816.16, 32,724.23 and 7,026.57

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Solution

The fourth proportional to 21,816.16, 32,724.23 and 7,026.57 is: 10,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.16 : 32,724.23 = 7,026.57 : x
  2. Step 2: Convert to fraction form
    21,816.16/32,724.23 = 7,026.57/x
  3. Step 3: Cross multiply
    21,816.16x = 32,724.23 × 7,026.57
  4. Step 4: Simplify right side
    21,816.16x = 229,939,092.79
  5. Step 5: Solve for x
    x = 229,939,092.79/21,816.16
  6. Step 6: Final answer
    x = 10,539.85

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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.