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Finding the Fourth Proportional to 14,926, 22,389 and 5,692

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Solution

The fourth proportional to 14,926, 22,389 and 5,692 is: 8,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926 : 22,389 = 5,692 : x
  2. Step 2: Convert to fraction form
    14,926/22,389 = 5,692/x
  3. Step 3: Cross multiply
    14,926x = 22,389 × 5,692
  4. Step 4: Simplify right side
    14,926x = 127,438,188
  5. Step 5: Solve for x
    x = 127,438,188/14,926
  6. Step 6: Final answer
    x = 8,538

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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.