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Finding the Fourth Proportional to 23,213.10, 34,814.03 and 10,721.11

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Solution

The fourth proportional to 23,213.10, 34,814.03 and 10,721.11 is: 16,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.10 : 34,814.03 = 10,721.11 : x
  2. Step 2: Convert to fraction form
    23,213.10/34,814.03 = 10,721.11/x
  3. Step 3: Cross multiply
    23,213.10x = 34,814.03 × 10,721.11
  4. Step 4: Simplify right side
    23,213.10x = 373,245,045.17
  5. Step 5: Solve for x
    x = 373,245,045.17/23,213.10
  6. Step 6: Final answer
    x = 16,079.07

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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.