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Finding the Fourth Proportional to 11,821.68, 17,756.94 and 11,428.02

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Solution

The fourth proportional to 11,821.68, 17,756.94 and 11,428.02 is: 17,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.68 : 17,756.94 = 11,428.02 : x
  2. Step 2: Convert to fraction form
    11,821.68/17,756.94 = 11,428.02/x
  3. Step 3: Cross multiply
    11,821.68x = 17,756.94 × 11,428.02
  4. Step 4: Simplify right side
    11,821.68x = 202,926,665.46
  5. Step 5: Solve for x
    x = 202,926,665.46/11,821.68
  6. Step 6: Final answer
    x = 17,165.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.