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Finding the Fourth Proportional to 22,419.84, 33,599.04 and 9,264

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Solution

The fourth proportional to 22,419.84, 33,599.04 and 9,264 is: 13,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.84 : 33,599.04 = 9,264 : x
  2. Step 2: Convert to fraction form
    22,419.84/33,599.04 = 9,264/x
  3. Step 3: Cross multiply
    22,419.84x = 33,599.04 × 9,264
  4. Step 4: Simplify right side
    22,419.84x = 311,261,506.56
  5. Step 5: Solve for x
    x = 311,261,506.56/22,419.84
  6. Step 6: Final answer
    x = 13,883.31

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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.