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Finding the Fourth Proportional to 17,945.81, 24,764.69 and 9,987.86

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Solution

The fourth proportional to 17,945.81, 24,764.69 and 9,987.86 is: 13,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,945.81 : 24,764.69 = 9,987.86 : x
  2. Step 2: Convert to fraction form
    17,945.81/24,764.69 = 9,987.86/x
  3. Step 3: Cross multiply
    17,945.81x = 24,764.69 × 9,987.86
  4. Step 4: Simplify right side
    17,945.81x = 247,346,343.54
  5. Step 5: Solve for x
    x = 247,346,343.54/17,945.81
  6. Step 6: Final answer
    x = 13,782.96

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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.