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Finding the Fourth Proportional to 15,920.72, 23,844.74 and 7,606.62

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Solution

The fourth proportional to 15,920.72, 23,844.74 and 7,606.62 is: 11,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.72 : 23,844.74 = 7,606.62 : x
  2. Step 2: Convert to fraction form
    15,920.72/23,844.74 = 7,606.62/x
  3. Step 3: Cross multiply
    15,920.72x = 23,844.74 × 7,606.62
  4. Step 4: Simplify right side
    15,920.72x = 181,377,876.18
  5. Step 5: Solve for x
    x = 181,377,876.18/15,920.72
  6. Step 6: Final answer
    x = 11,392.57

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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.