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Finding the Fourth Proportional to 15,271.41, 22,914 and 9,723.32

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Solution

The fourth proportional to 15,271.41, 22,914 and 9,723.32 is: 14,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,271.41 : 22,914 = 9,723.32 : x
  2. Step 2: Convert to fraction form
    15,271.41/22,914 = 9,723.32/x
  3. Step 3: Cross multiply
    15,271.41x = 22,914 × 9,723.32
  4. Step 4: Simplify right side
    15,271.41x = 222,800,039.91
  5. Step 5: Solve for x
    x = 222,800,039.91/15,271.41
  6. Step 6: Final answer
    x = 14,589.36

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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.