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Finding the Fourth Proportional to 14,284.41, 19,712.48 and 7,996.78

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Solution

The fourth proportional to 14,284.41, 19,712.48 and 7,996.78 is: 11,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.41 : 19,712.48 = 7,996.78 : x
  2. Step 2: Convert to fraction form
    14,284.41/19,712.48 = 7,996.78/x
  3. Step 3: Cross multiply
    14,284.41x = 19,712.48 × 7,996.78
  4. Step 4: Simplify right side
    14,284.41x = 157,636,395.45
  5. Step 5: Solve for x
    x = 157,636,395.45/14,284.41
  6. Step 6: Final answer
    x = 11,035.56

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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.