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Finding the Fourth Proportional to 22,599.84, 33,874.56 and 9,443.28

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Solution

The fourth proportional to 22,599.84, 33,874.56 and 9,443.28 is: 14,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599.84 : 33,874.56 = 9,443.28 : x
  2. Step 2: Convert to fraction form
    22,599.84/33,874.56 = 9,443.28/x
  3. Step 3: Cross multiply
    22,599.84x = 33,874.56 × 9,443.28
  4. Step 4: Simplify right side
    22,599.84x = 319,886,954.96
  5. Step 5: Solve for x
    x = 319,886,954.96/22,599.84
  6. Step 6: Final answer
    x = 14,154.39

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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.