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Finding the Fourth Proportional to 22,537.64, 33,820.13 and 9,389.82

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Solution

The fourth proportional to 22,537.64, 33,820.13 and 9,389.82 is: 14,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.64 : 33,820.13 = 9,389.82 : x
  2. Step 2: Convert to fraction form
    22,537.64/33,820.13 = 9,389.82/x
  3. Step 3: Cross multiply
    22,537.64x = 33,820.13 × 9,389.82
  4. Step 4: Simplify right side
    22,537.64x = 317,565,083.38
  5. Step 5: Solve for x
    x = 317,565,083.38/22,537.64
  6. Step 6: Final answer
    x = 14,090.43

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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.