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Finding the Fourth Proportional to 15,002, 22,504.12 and 5,768

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Solution

The fourth proportional to 15,002, 22,504.12 and 5,768 is: 8,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002 : 22,504.12 = 5,768 : x
  2. Step 2: Convert to fraction form
    15,002/22,504.12 = 5,768/x
  3. Step 3: Cross multiply
    15,002x = 22,504.12 × 5,768
  4. Step 4: Simplify right side
    15,002x = 129,803,764.16
  5. Step 5: Solve for x
    x = 129,803,764.16/15,002
  6. Step 6: Final answer
    x = 8,652.43

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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.