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Finding the Fourth Proportional to 21,791.61, 32,684.31 and 7,001.82

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Solution

The fourth proportional to 21,791.61, 32,684.31 and 7,001.82 is: 10,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791.61 : 32,684.31 = 7,001.82 : x
  2. Step 2: Convert to fraction form
    21,791.61/32,684.31 = 7,001.82/x
  3. Step 3: Cross multiply
    21,791.61x = 32,684.31 × 7,001.82
  4. Step 4: Simplify right side
    21,791.61x = 228,849,655.44
  5. Step 5: Solve for x
    x = 228,849,655.44/21,791.61
  6. Step 6: Final answer
    x = 10,501.73

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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.