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Finding the Fourth Proportional to 14,874, 22,319.64 and 6,666

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Solution

The fourth proportional to 14,874, 22,319.64 and 6,666 is: 10,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874 : 22,319.64 = 6,666 : x
  2. Step 2: Convert to fraction form
    14,874/22,319.64 = 6,666/x
  3. Step 3: Cross multiply
    14,874x = 22,319.64 × 6,666
  4. Step 4: Simplify right side
    14,874x = 148,782,720.24
  5. Step 5: Solve for x
    x = 148,782,720.24/14,874
  6. Step 6: Final answer
    x = 10,002.87

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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.