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Finding the Fourth Proportional to 21,097.08, 29,114.16 and 11,666.28

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Solution

The fourth proportional to 21,097.08, 29,114.16 and 11,666.28 is: 16,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.08 : 29,114.16 = 11,666.28 : x
  2. Step 2: Convert to fraction form
    21,097.08/29,114.16 = 11,666.28/x
  3. Step 3: Cross multiply
    21,097.08x = 29,114.16 × 11,666.28
  4. Step 4: Simplify right side
    21,097.08x = 339,653,942.52
  5. Step 5: Solve for x
    x = 339,653,942.52/21,097.08
  6. Step 6: Final answer
    x = 16,099.57

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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.