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Finding the Fourth Proportional to 21,649.60, 29,882.10 and 14,114.62

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Solution

The fourth proportional to 21,649.60, 29,882.10 and 14,114.62 is: 19,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.60 : 29,882.10 = 14,114.62 : x
  2. Step 2: Convert to fraction form
    21,649.60/29,882.10 = 14,114.62/x
  3. Step 3: Cross multiply
    21,649.60x = 29,882.10 × 14,114.62
  4. Step 4: Simplify right side
    21,649.60x = 421,774,486.30
  5. Step 5: Solve for x
    x = 421,774,486.30/21,649.60
  6. Step 6: Final answer
    x = 19,481.86

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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.