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Finding the Fourth Proportional to 21,902.65, 32,859.14 and 7,110.43

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Solution

The fourth proportional to 21,902.65, 32,859.14 and 7,110.43 is: 10,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.65 : 32,859.14 = 7,110.43 : x
  2. Step 2: Convert to fraction form
    21,902.65/32,859.14 = 7,110.43/x
  3. Step 3: Cross multiply
    21,902.65x = 32,859.14 × 7,110.43
  4. Step 4: Simplify right side
    21,902.65x = 233,642,614.83
  5. Step 5: Solve for x
    x = 233,642,614.83/21,902.65
  6. Step 6: Final answer
    x = 10,667.32

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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.