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Finding the Fourth Proportional to 14,414.68, 19,892.55 and 8,125.84

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Solution

The fourth proportional to 14,414.68, 19,892.55 and 8,125.84 is: 11,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.68 : 19,892.55 = 8,125.84 : x
  2. Step 2: Convert to fraction form
    14,414.68/19,892.55 = 8,125.84/x
  3. Step 3: Cross multiply
    14,414.68x = 19,892.55 × 8,125.84
  4. Step 4: Simplify right side
    14,414.68x = 161,643,678.49
  5. Step 5: Solve for x
    x = 161,643,678.49/14,414.68
  6. Step 6: Final answer
    x = 11,213.82

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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.