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Finding the Fourth Proportional to 19,567, 29,337.74 and 12,883.26

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Solution

The fourth proportional to 19,567, 29,337.74 and 12,883.26 is: 19,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567 : 29,337.74 = 12,883.26 : x
  2. Step 2: Convert to fraction form
    19,567/29,337.74 = 12,883.26/x
  3. Step 3: Cross multiply
    19,567x = 29,337.74 × 12,883.26
  4. Step 4: Simplify right side
    19,567x = 377,965,732.23
  5. Step 5: Solve for x
    x = 377,965,732.23/19,567
  6. Step 6: Final answer
    x = 19,316.49

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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.