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Finding the Fourth Proportional to 21,929.84, 32,896.85 and 6,134.88

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Solution

The fourth proportional to 21,929.84, 32,896.85 and 6,134.88 is: 9,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.84 : 32,896.85 = 6,134.88 : x
  2. Step 2: Convert to fraction form
    21,929.84/32,896.85 = 6,134.88/x
  3. Step 3: Cross multiply
    21,929.84x = 32,896.85 × 6,134.88
  4. Step 4: Simplify right side
    21,929.84x = 201,818,169.28
  5. Step 5: Solve for x
    x = 201,818,169.28/21,929.84
  6. Step 6: Final answer
    x = 9,202.90

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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.