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Finding the Fourth Proportional to 22,304.57, 33,421.34 and 11,774.21

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Solution

The fourth proportional to 22,304.57, 33,421.34 and 11,774.21 is: 17,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.57 : 33,421.34 = 11,774.21 : x
  2. Step 2: Convert to fraction form
    22,304.57/33,421.34 = 11,774.21/x
  3. Step 3: Cross multiply
    22,304.57x = 33,421.34 × 11,774.21
  4. Step 4: Simplify right side
    22,304.57x = 393,509,737.97
  5. Step 5: Solve for x
    x = 393,509,737.97/22,304.57
  6. Step 6: Final answer
    x = 17,642.57

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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.