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Finding the Fourth Proportional to 21,545.84, 29,736.09 and 12,116.22

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Solution

The fourth proportional to 21,545.84, 29,736.09 and 12,116.22 is: 16,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545.84 : 29,736.09 = 12,116.22 : x
  2. Step 2: Convert to fraction form
    21,545.84/29,736.09 = 12,116.22/x
  3. Step 3: Cross multiply
    21,545.84x = 29,736.09 × 12,116.22
  4. Step 4: Simplify right side
    21,545.84x = 360,289,008.38
  5. Step 5: Solve for x
    x = 360,289,008.38/21,545.84
  6. Step 6: Final answer
    x = 16,721.98

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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.