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Finding the Fourth Proportional to 15,234.14, 22,846.32 and 4,843.46

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Solution

The fourth proportional to 15,234.14, 22,846.32 and 4,843.46 is: 7,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.14 : 22,846.32 = 4,843.46 : x
  2. Step 2: Convert to fraction form
    15,234.14/22,846.32 = 4,843.46/x
  3. Step 3: Cross multiply
    15,234.14x = 22,846.32 × 4,843.46
  4. Step 4: Simplify right side
    15,234.14x = 110,655,237.07
  5. Step 5: Solve for x
    x = 110,655,237.07/15,234.14
  6. Step 6: Final answer
    x = 7,263.64

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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.