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Finding the Fourth Proportional to 22,581.84, 33,880.18 and 9,437.96

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Solution

The fourth proportional to 22,581.84, 33,880.18 and 9,437.96 is: 14,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581.84 : 33,880.18 = 9,437.96 : x
  2. Step 2: Convert to fraction form
    22,581.84/33,880.18 = 9,437.96/x
  3. Step 3: Cross multiply
    22,581.84x = 33,880.18 × 9,437.96
  4. Step 4: Simplify right side
    22,581.84x = 319,759,783.63
  5. Step 5: Solve for x
    x = 319,759,783.63/22,581.84
  6. Step 6: Final answer
    x = 14,160.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.