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Finding the Fourth Proportional to 16,867.11, 25,301.88 and 4,858.77

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Solution

The fourth proportional to 16,867.11, 25,301.88 and 4,858.77 is: 7,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,867.11 : 25,301.88 = 4,858.77 : x
  2. Step 2: Convert to fraction form
    16,867.11/25,301.88 = 4,858.77/x
  3. Step 3: Cross multiply
    16,867.11x = 25,301.88 × 4,858.77
  4. Step 4: Simplify right side
    16,867.11x = 122,936,015.49
  5. Step 5: Solve for x
    x = 122,936,015.49/16,867.11
  6. Step 6: Final answer
    x = 7,288.50

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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.