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Finding the Fourth Proportional to 27,783.90, 41,681.82 and 15,943.14

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Solution

The fourth proportional to 27,783.90, 41,681.82 and 15,943.14 is: 23,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.90 : 41,681.82 = 15,943.14 : x
  2. Step 2: Convert to fraction form
    27,783.90/41,681.82 = 15,943.14/x
  3. Step 3: Cross multiply
    27,783.90x = 41,681.82 × 15,943.14
  4. Step 4: Simplify right side
    27,783.90x = 664,539,091.71
  5. Step 5: Solve for x
    x = 664,539,091.71/27,783.90
  6. Step 6: Final answer
    x = 23,918.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.