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Finding the Fourth Proportional to 21,097.84, 29,114.23 and 11,666.56

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Solution

The fourth proportional to 21,097.84, 29,114.23 and 11,666.56 is: 16,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.84 : 29,114.23 = 11,666.56 : x
  2. Step 2: Convert to fraction form
    21,097.84/29,114.23 = 11,666.56/x
  3. Step 3: Cross multiply
    21,097.84x = 29,114.23 × 11,666.56
  4. Step 4: Simplify right side
    21,097.84x = 339,662,707.24
  5. Step 5: Solve for x
    x = 339,662,707.24/21,097.84
  6. Step 6: Final answer
    x = 16,099.41

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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.