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Finding the Fourth Proportional to 22,658, 33,988.92 and 6,242

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Solution

The fourth proportional to 22,658, 33,988.92 and 6,242 is: 9,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658 : 33,988.92 = 6,242 : x
  2. Step 2: Convert to fraction form
    22,658/33,988.92 = 6,242/x
  3. Step 3: Cross multiply
    22,658x = 33,988.92 × 6,242
  4. Step 4: Simplify right side
    22,658x = 212,158,838.64
  5. Step 5: Solve for x
    x = 212,158,838.64/22,658
  6. Step 6: Final answer
    x = 9,363.53

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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.