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Finding the Fourth Proportional to 15,178, 22,770.84 and 4,234

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Solution

The fourth proportional to 15,178, 22,770.84 and 4,234 is: 6,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178 : 22,770.84 = 4,234 : x
  2. Step 2: Convert to fraction form
    15,178/22,770.84 = 4,234/x
  3. Step 3: Cross multiply
    15,178x = 22,770.84 × 4,234
  4. Step 4: Simplify right side
    15,178x = 96,411,736.56
  5. Step 5: Solve for x
    x = 96,411,736.56/15,178
  6. Step 6: Final answer
    x = 6,352.07

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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.