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Finding the Fourth Proportional to 14,284.68, 19,713.12 and 7,997.04

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Solution

The fourth proportional to 14,284.68, 19,713.12 and 7,997.04 is: 11,036.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.68 : 19,713.12 = 7,997.04 : x
  2. Step 2: Convert to fraction form
    14,284.68/19,713.12 = 7,997.04/x
  3. Step 3: Cross multiply
    14,284.68x = 19,713.12 × 7,997.04
  4. Step 4: Simplify right side
    14,284.68x = 157,646,609.16
  5. Step 5: Solve for x
    x = 157,646,609.16/14,284.68
  6. Step 6: Final answer
    x = 11,036.06

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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.