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Finding the Fourth Proportional to 21,699.90, 29,941 and 13,206.46

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Solution

The fourth proportional to 21,699.90, 29,941 and 13,206.46 is: 18,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,699.90 : 29,941 = 13,206.46 : x
  2. Step 2: Convert to fraction form
    21,699.90/29,941 = 13,206.46/x
  3. Step 3: Cross multiply
    21,699.90x = 29,941 × 13,206.46
  4. Step 4: Simplify right side
    21,699.90x = 395,414,618.86
  5. Step 5: Solve for x
    x = 395,414,618.86/21,699.90
  6. Step 6: Final answer
    x = 18,221.96

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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.