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Finding the Fourth Proportional to 16,674, 25,018.68 and 6,284.88

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Solution

The fourth proportional to 16,674, 25,018.68 and 6,284.88 is: 9,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674 : 25,018.68 = 6,284.88 : x
  2. Step 2: Convert to fraction form
    16,674/25,018.68 = 6,284.88/x
  3. Step 3: Cross multiply
    16,674x = 25,018.68 × 6,284.88
  4. Step 4: Simplify right side
    16,674x = 157,239,401.56
  5. Step 5: Solve for x
    x = 157,239,401.56/16,674
  6. Step 6: Final answer
    x = 9,430.21

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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.