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Finding the Fourth Proportional to 16,926, 25,390.08 and 4,614

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Solution

The fourth proportional to 16,926, 25,390.08 and 4,614 is: 6,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,926 : 25,390.08 = 4,614 : x
  2. Step 2: Convert to fraction form
    16,926/25,390.08 = 4,614/x
  3. Step 3: Cross multiply
    16,926x = 25,390.08 × 4,614
  4. Step 4: Simplify right side
    16,926x = 117,149,829.12
  5. Step 5: Solve for x
    x = 117,149,829.12/16,926
  6. Step 6: Final answer
    x = 6,921.29

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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.