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Finding the Fourth Proportional to 14,414.68, 19,892.29 and 8,041.69

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Solution

The fourth proportional to 14,414.68, 19,892.29 and 8,041.69 is: 11,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.68 : 19,892.29 = 8,041.69 : x
  2. Step 2: Convert to fraction form
    14,414.68/19,892.29 = 8,041.69/x
  3. Step 3: Cross multiply
    14,414.68x = 19,892.29 × 8,041.69
  4. Step 4: Simplify right side
    14,414.68x = 159,967,629.57
  5. Step 5: Solve for x
    x = 159,967,629.57/14,414.68
  6. Step 6: Final answer
    x = 11,097.55

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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.