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Finding the Fourth Proportional to 21,195.06, 29,182.14 and 16,143

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Solution

The fourth proportional to 21,195.06, 29,182.14 and 16,143 is: 22,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.06 : 29,182.14 = 16,143 : x
  2. Step 2: Convert to fraction form
    21,195.06/29,182.14 = 16,143/x
  3. Step 3: Cross multiply
    21,195.06x = 29,182.14 × 16,143
  4. Step 4: Simplify right side
    21,195.06x = 471,087,286.02
  5. Step 5: Solve for x
    x = 471,087,286.02/21,195.06
  6. Step 6: Final answer
    x = 22,226.28

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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.