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Finding the Fourth Proportional to 15,235.14, 22,844.51 and 8,218.92

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Solution

The fourth proportional to 15,235.14, 22,844.51 and 8,218.92 is: 12,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.14 : 22,844.51 = 8,218.92 : x
  2. Step 2: Convert to fraction form
    15,235.14/22,844.51 = 8,218.92/x
  3. Step 3: Cross multiply
    15,235.14x = 22,844.51 × 8,218.92
  4. Step 4: Simplify right side
    15,235.14x = 187,757,159.03
  5. Step 5: Solve for x
    x = 187,757,159.03/15,235.14
  6. Step 6: Final answer
    x = 12,323.95

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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.