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Finding the Fourth Proportional to 21,687, 29,748.09 and 21,499.80

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Solution

The fourth proportional to 21,687, 29,748.09 and 21,499.80 is: 29,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687 : 29,748.09 = 21,499.80 : x
  2. Step 2: Convert to fraction form
    21,687/29,748.09 = 21,499.80/x
  3. Step 3: Cross multiply
    21,687x = 29,748.09 × 21,499.80
  4. Step 4: Simplify right side
    21,687x = 639,577,985.38
  5. Step 5: Solve for x
    x = 639,577,985.38/21,687
  6. Step 6: Final answer
    x = 29,491.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.