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Finding the Fourth Proportional to 22,536.38, 33,755.30 and 11,424

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Solution

The fourth proportional to 22,536.38, 33,755.30 and 11,424 is: 17,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.38 : 33,755.30 = 11,424 : x
  2. Step 2: Convert to fraction form
    22,536.38/33,755.30 = 11,424/x
  3. Step 3: Cross multiply
    22,536.38x = 33,755.30 × 11,424
  4. Step 4: Simplify right side
    22,536.38x = 385,620,547.20
  5. Step 5: Solve for x
    x = 385,620,547.20/22,536.38
  6. Step 6: Final answer
    x = 17,111.02

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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.