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Finding the Fourth Proportional to 17,943.90, 24,762.87 and 9,986.46

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Solution

The fourth proportional to 17,943.90, 24,762.87 and 9,986.46 is: 13,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943.90 : 24,762.87 = 9,986.46 : x
  2. Step 2: Convert to fraction form
    17,943.90/24,762.87 = 9,986.46/x
  3. Step 3: Cross multiply
    17,943.90x = 24,762.87 × 9,986.46
  4. Step 4: Simplify right side
    17,943.90x = 247,293,410.74
  5. Step 5: Solve for x
    x = 247,293,410.74/17,943.90
  6. Step 6: Final answer
    x = 13,781.48

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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.