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Finding the Fourth Proportional to 16,914, 25,371.09 and 4,602

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Solution

The fourth proportional to 16,914, 25,371.09 and 4,602 is: 6,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914 : 25,371.09 = 4,602 : x
  2. Step 2: Convert to fraction form
    16,914/25,371.09 = 4,602/x
  3. Step 3: Cross multiply
    16,914x = 25,371.09 × 4,602
  4. Step 4: Simplify right side
    16,914x = 116,757,756.18
  5. Step 5: Solve for x
    x = 116,757,756.18/16,914
  6. Step 6: Final answer
    x = 6,903.02

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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.