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Finding the Fourth Proportional to 19,692, 29,542.86 and 5,841

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Solution

The fourth proportional to 19,692, 29,542.86 and 5,841 is: 8,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692 : 29,542.86 = 5,841 : x
  2. Step 2: Convert to fraction form
    19,692/29,542.86 = 5,841/x
  3. Step 3: Cross multiply
    19,692x = 29,542.86 × 5,841
  4. Step 4: Simplify right side
    19,692x = 172,559,845.26
  5. Step 5: Solve for x
    x = 172,559,845.26/19,692
  6. Step 6: Final answer
    x = 8,762.94

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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.