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Finding the Fourth Proportional to 24,136.86, 33,308.79 and 14,071.26

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Solution

The fourth proportional to 24,136.86, 33,308.79 and 14,071.26 is: 19,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.86 : 33,308.79 = 14,071.26 : x
  2. Step 2: Convert to fraction form
    24,136.86/33,308.79 = 14,071.26/x
  3. Step 3: Cross multiply
    24,136.86x = 33,308.79 × 14,071.26
  4. Step 4: Simplify right side
    24,136.86x = 468,696,644.38
  5. Step 5: Solve for x
    x = 468,696,644.38/24,136.86
  6. Step 6: Final answer
    x = 19,418.29

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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.