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Finding the Fourth Proportional to 19,857.41, 27,403.71 and 10,783.16

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Solution

The fourth proportional to 19,857.41, 27,403.71 and 10,783.16 is: 14,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.41 : 27,403.71 = 10,783.16 : x
  2. Step 2: Convert to fraction form
    19,857.41/27,403.71 = 10,783.16/x
  3. Step 3: Cross multiply
    19,857.41x = 27,403.71 × 10,783.16
  4. Step 4: Simplify right side
    19,857.41x = 295,498,589.52
  5. Step 5: Solve for x
    x = 295,498,589.52/19,857.41
  6. Step 6: Final answer
    x = 14,881.02

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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.