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Finding the Fourth Proportional to 14,284.16, 19,710.24 and 7,996.40

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Solution

The fourth proportional to 14,284.16, 19,710.24 and 7,996.40 is: 11,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.16 : 19,710.24 = 7,996.40 : x
  2. Step 2: Convert to fraction form
    14,284.16/19,710.24 = 7,996.40/x
  3. Step 3: Cross multiply
    14,284.16x = 19,710.24 × 7,996.40
  4. Step 4: Simplify right side
    14,284.16x = 157,610,963.14
  5. Step 5: Solve for x
    x = 157,610,963.14/14,284.16
  6. Step 6: Final answer
    x = 11,033.97

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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.