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Finding the Fourth Proportional to 21,098.16, 29,113.20 and 11,666

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Solution

The fourth proportional to 21,098.16, 29,113.20 and 11,666 is: 16,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.16 : 29,113.20 = 11,666 : x
  2. Step 2: Convert to fraction form
    21,098.16/29,113.20 = 11,666/x
  3. Step 3: Cross multiply
    21,098.16x = 29,113.20 × 11,666
  4. Step 4: Simplify right side
    21,098.16x = 339,634,591.20
  5. Step 5: Solve for x
    x = 339,634,591.20/21,098.16
  6. Step 6: Final answer
    x = 16,097.83

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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.