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Finding the Fourth Proportional to 14,284.56, 19,713.62 and 7,997.40

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Solution

The fourth proportional to 14,284.56, 19,713.62 and 7,997.40 is: 11,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.56 : 19,713.62 = 7,997.40 : x
  2. Step 2: Convert to fraction form
    14,284.56/19,713.62 = 7,997.40/x
  3. Step 3: Cross multiply
    14,284.56x = 19,713.62 × 7,997.40
  4. Step 4: Simplify right side
    14,284.56x = 157,657,704.59
  5. Step 5: Solve for x
    x = 157,657,704.59/14,284.56
  6. Step 6: Final answer
    x = 11,036.93

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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.