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Finding the Fourth Proportional to 22,376.42, 33,565.95 and 9,224.25

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Solution

The fourth proportional to 22,376.42, 33,565.95 and 9,224.25 is: 13,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376.42 : 33,565.95 = 9,224.25 : x
  2. Step 2: Convert to fraction form
    22,376.42/33,565.95 = 9,224.25/x
  3. Step 3: Cross multiply
    22,376.42x = 33,565.95 × 9,224.25
  4. Step 4: Simplify right side
    22,376.42x = 309,620,714.29
  5. Step 5: Solve for x
    x = 309,620,714.29/22,376.42
  6. Step 6: Final answer
    x = 13,836.92

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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.