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Finding the Fourth Proportional to 22,615.84, 33,918.40 and 9,461.12

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Solution

The fourth proportional to 22,615.84, 33,918.40 and 9,461.12 is: 14,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.84 : 33,918.40 = 9,461.12 : x
  2. Step 2: Convert to fraction form
    22,615.84/33,918.40 = 9,461.12/x
  3. Step 3: Cross multiply
    22,615.84x = 33,918.40 × 9,461.12
  4. Step 4: Simplify right side
    22,615.84x = 320,906,052.61
  5. Step 5: Solve for x
    x = 320,906,052.61/22,615.84
  6. Step 6: Final answer
    x = 14,189.44

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1.5x scale

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.