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Finding the Fourth Proportional to 21,097.28, 29,114.40 and 11,666.12

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Solution

The fourth proportional to 21,097.28, 29,114.40 and 11,666.12 is: 16,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.28 : 29,114.40 = 11,666.12 : x
  2. Step 2: Convert to fraction form
    21,097.28/29,114.40 = 11,666.12/x
  3. Step 3: Cross multiply
    21,097.28x = 29,114.40 × 11,666.12
  4. Step 4: Simplify right side
    21,097.28x = 339,652,084.13
  5. Step 5: Solve for x
    x = 339,652,084.13/21,097.28
  6. Step 6: Final answer
    x = 16,099.33

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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.