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Finding the Fourth Proportional to 15,244, 22,866.88 and 5,884.06

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Solution

The fourth proportional to 15,244, 22,866.88 and 5,884.06 is: 8,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,244 : 22,866.88 = 5,884.06 : x
  2. Step 2: Convert to fraction form
    15,244/22,866.88 = 5,884.06/x
  3. Step 3: Cross multiply
    15,244x = 22,866.88 × 5,884.06
  4. Step 4: Simplify right side
    15,244x = 134,550,093.93
  5. Step 5: Solve for x
    x = 134,550,093.93/15,244
  6. Step 6: Final answer
    x = 8,826.43

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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.