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Finding the Fourth Proportional to 22,511.64, 33,767.90 and 6,929.25

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Solution

The fourth proportional to 22,511.64, 33,767.90 and 6,929.25 is: 10,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.64 : 33,767.90 = 6,929.25 : x
  2. Step 2: Convert to fraction form
    22,511.64/33,767.90 = 6,929.25/x
  3. Step 3: Cross multiply
    22,511.64x = 33,767.90 × 6,929.25
  4. Step 4: Simplify right side
    22,511.64x = 233,986,186.43
  5. Step 5: Solve for x
    x = 233,986,186.43/22,511.64
  6. Step 6: Final answer
    x = 10,394.01

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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.