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Finding the Fourth Proportional to 19,524.47, 29,286.44 and 4,733.51

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Solution

The fourth proportional to 19,524.47, 29,286.44 and 4,733.51 is: 7,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.47 : 29,286.44 = 4,733.51 : x
  2. Step 2: Convert to fraction form
    19,524.47/29,286.44 = 4,733.51/x
  3. Step 3: Cross multiply
    19,524.47x = 29,286.44 × 4,733.51
  4. Step 4: Simplify right side
    19,524.47x = 138,627,486.50
  5. Step 5: Solve for x
    x = 138,627,486.50/19,524.47
  6. Step 6: Final answer
    x = 7,100.19

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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.