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Finding the Fourth Proportional to 21,491.82, 29,658.71 and 12,060.38

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Solution

The fourth proportional to 21,491.82, 29,658.71 and 12,060.38 is: 16,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.82 : 29,658.71 = 12,060.38 : x
  2. Step 2: Convert to fraction form
    21,491.82/29,658.71 = 12,060.38/x
  3. Step 3: Cross multiply
    21,491.82x = 29,658.71 × 12,060.38
  4. Step 4: Simplify right side
    21,491.82x = 357,695,104.31
  5. Step 5: Solve for x
    x = 357,695,104.31/21,491.82
  6. Step 6: Final answer
    x = 16,643.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.