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Finding the Fourth Proportional to 21,498.78, 29,669.90 and 13,001.22

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Solution

The fourth proportional to 21,498.78, 29,669.90 and 13,001.22 is: 17,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.78 : 29,669.90 = 13,001.22 : x
  2. Step 2: Convert to fraction form
    21,498.78/29,669.90 = 13,001.22/x
  3. Step 3: Cross multiply
    21,498.78x = 29,669.90 × 13,001.22
  4. Step 4: Simplify right side
    21,498.78x = 385,744,897.28
  5. Step 5: Solve for x
    x = 385,744,897.28/21,498.78
  6. Step 6: Final answer
    x = 17,942.64

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