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Finding the Fourth Proportional to 19,857.66, 27,404.06 and 10,783.41

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Solution

The fourth proportional to 19,857.66, 27,404.06 and 10,783.41 is: 14,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.66 : 27,404.06 = 10,783.41 : x
  2. Step 2: Convert to fraction form
    19,857.66/27,404.06 = 10,783.41/x
  3. Step 3: Cross multiply
    19,857.66x = 27,404.06 × 10,783.41
  4. Step 4: Simplify right side
    19,857.66x = 295,509,160.73
  5. Step 5: Solve for x
    x = 295,509,160.73/19,857.66
  6. Step 6: Final answer
    x = 14,881.37

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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.