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Finding the Fourth Proportional to 15,286.50, 22,933.59 and 4,342.50

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Solution

The fourth proportional to 15,286.50, 22,933.59 and 4,342.50 is: 6,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.50 : 22,933.59 = 4,342.50 : x
  2. Step 2: Convert to fraction form
    15,286.50/22,933.59 = 4,342.50/x
  3. Step 3: Cross multiply
    15,286.50x = 22,933.59 × 4,342.50
  4. Step 4: Simplify right side
    15,286.50x = 99,589,114.58
  5. Step 5: Solve for x
    x = 99,589,114.58/15,286.50
  6. Step 6: Final answer
    x = 6,514.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.