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Finding the Fourth Proportional to 16,858, 25,298.52 and 5,914

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Solution

The fourth proportional to 16,858, 25,298.52 and 5,914 is: 8,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858 : 25,298.52 = 5,914 : x
  2. Step 2: Convert to fraction form
    16,858/25,298.52 = 5,914/x
  3. Step 3: Cross multiply
    16,858x = 25,298.52 × 5,914
  4. Step 4: Simplify right side
    16,858x = 149,615,447.28
  5. Step 5: Solve for x
    x = 149,615,447.28/16,858
  6. Step 6: Final answer
    x = 8,875.04

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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.