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Finding the Fourth Proportional to 21,097.01, 29,113.74 and 11,665.50

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Solution

The fourth proportional to 21,097.01, 29,113.74 and 11,665.50 is: 16,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.01 : 29,113.74 = 11,665.50 : x
  2. Step 2: Convert to fraction form
    21,097.01/29,113.74 = 11,665.50/x
  3. Step 3: Cross multiply
    21,097.01x = 29,113.74 × 11,665.50
  4. Step 4: Simplify right side
    21,097.01x = 339,626,333.97
  5. Step 5: Solve for x
    x = 339,626,333.97/21,097.01
  6. Step 6: Final answer
    x = 16,098.32

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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.