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Finding the Fourth Proportional to 21,076.44, 29,085.28 and 11,645

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Solution

The fourth proportional to 21,076.44, 29,085.28 and 11,645 is: 16,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.44 : 29,085.28 = 11,645 : x
  2. Step 2: Convert to fraction form
    21,076.44/29,085.28 = 11,645/x
  3. Step 3: Cross multiply
    21,076.44x = 29,085.28 × 11,645
  4. Step 4: Simplify right side
    21,076.44x = 338,698,085.60
  5. Step 5: Solve for x
    x = 338,698,085.60/21,076.44
  6. Step 6: Final answer
    x = 16,069.99

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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.