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Finding the Fourth Proportional to 21,498.66, 29,669.74 and 13,001.10

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Solution

The fourth proportional to 21,498.66, 29,669.74 and 13,001.10 is: 17,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.66 : 29,669.74 = 13,001.10 : x
  2. Step 2: Convert to fraction form
    21,498.66/29,669.74 = 13,001.10/x
  3. Step 3: Cross multiply
    21,498.66x = 29,669.74 × 13,001.10
  4. Step 4: Simplify right side
    21,498.66x = 385,739,256.71
  5. Step 5: Solve for x
    x = 385,739,256.71/21,498.66
  6. Step 6: Final answer
    x = 17,942.48

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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.