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Finding the Fourth Proportional to 15,181, 22,775.34 and 4,237

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Solution

The fourth proportional to 15,181, 22,775.34 and 4,237 is: 6,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181 : 22,775.34 = 4,237 : x
  2. Step 2: Convert to fraction form
    15,181/22,775.34 = 4,237/x
  3. Step 3: Cross multiply
    15,181x = 22,775.34 × 4,237
  4. Step 4: Simplify right side
    15,181x = 96,499,115.58
  5. Step 5: Solve for x
    x = 96,499,115.58/15,181
  6. Step 6: Final answer
    x = 6,356.57

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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.