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Finding the Fourth Proportional to 19,944, 29,917.44 and 7,632

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Solution

The fourth proportional to 19,944, 29,917.44 and 7,632 is: 11,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944 : 29,917.44 = 7,632 : x
  2. Step 2: Convert to fraction form
    19,944/29,917.44 = 7,632/x
  3. Step 3: Cross multiply
    19,944x = 29,917.44 × 7,632
  4. Step 4: Simplify right side
    19,944x = 228,329,902.08
  5. Step 5: Solve for x
    x = 228,329,902.08/19,944
  6. Step 6: Final answer
    x = 11,448.55

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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.