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Finding the Fourth Proportional to 21,185.35, 29,223.63 and 13,213.74

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Solution

The fourth proportional to 21,185.35, 29,223.63 and 13,213.74 is: 18,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.35 : 29,223.63 = 13,213.74 : x
  2. Step 2: Convert to fraction form
    21,185.35/29,223.63 = 13,213.74/x
  3. Step 3: Cross multiply
    21,185.35x = 29,223.63 × 13,213.74
  4. Step 4: Simplify right side
    21,185.35x = 386,153,448.68
  5. Step 5: Solve for x
    x = 386,153,448.68/21,185.35
  6. Step 6: Final answer
    x = 18,227.38

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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.