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Finding the Fourth Proportional to 16,952.76, 25,424.02 and 6,419.25

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Solution

The fourth proportional to 16,952.76, 25,424.02 and 6,419.25 is: 9,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.76 : 25,424.02 = 6,419.25 : x
  2. Step 2: Convert to fraction form
    16,952.76/25,424.02 = 6,419.25/x
  3. Step 3: Cross multiply
    16,952.76x = 25,424.02 × 6,419.25
  4. Step 4: Simplify right side
    16,952.76x = 163,203,140.39
  5. Step 5: Solve for x
    x = 163,203,140.39/16,952.76
  6. Step 6: Final answer
    x = 9,626.94

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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.