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Finding the Fourth Proportional to 21,901.90, 32,845.65 and 8,049.10

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Solution

The fourth proportional to 21,901.90, 32,845.65 and 8,049.10 is: 12,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.90 : 32,845.65 = 8,049.10 : x
  2. Step 2: Convert to fraction form
    21,901.90/32,845.65 = 8,049.10/x
  3. Step 3: Cross multiply
    21,901.90x = 32,845.65 × 8,049.10
  4. Step 4: Simplify right side
    21,901.90x = 264,377,921.42
  5. Step 5: Solve for x
    x = 264,377,921.42/21,901.90
  6. Step 6: Final answer
    x = 12,071.00

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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.