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Finding the Fourth Proportional to 21,864.26, 32,796.42 and 9,376.22

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Solution

The fourth proportional to 21,864.26, 32,796.42 and 9,376.22 is: 14,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.26 : 32,796.42 = 9,376.22 : x
  2. Step 2: Convert to fraction form
    21,864.26/32,796.42 = 9,376.22/x
  3. Step 3: Cross multiply
    21,864.26x = 32,796.42 × 9,376.22
  4. Step 4: Simplify right side
    21,864.26x = 307,506,449.13
  5. Step 5: Solve for x
    x = 307,506,449.13/21,864.26
  6. Step 6: Final answer
    x = 14,064.34

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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.