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Finding the Fourth Proportional to 16,901.22, 25,355.22 and 5,214

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Solution

The fourth proportional to 16,901.22, 25,355.22 and 5,214 is: 7,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.22 : 25,355.22 = 5,214 : x
  2. Step 2: Convert to fraction form
    16,901.22/25,355.22 = 5,214/x
  3. Step 3: Cross multiply
    16,901.22x = 25,355.22 × 5,214
  4. Step 4: Simplify right side
    16,901.22x = 132,202,117.08
  5. Step 5: Solve for x
    x = 132,202,117.08/16,901.22
  6. Step 6: Final answer
    x = 7,822.05

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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.