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Finding the Fourth Proportional to 15,157.77, 20,917.67 and 8,443

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Solution

The fourth proportional to 15,157.77, 20,917.67 and 8,443 is: 11,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.77 : 20,917.67 = 8,443 : x
  2. Step 2: Convert to fraction form
    15,157.77/20,917.67 = 8,443/x
  3. Step 3: Cross multiply
    15,157.77x = 20,917.67 × 8,443
  4. Step 4: Simplify right side
    15,157.77x = 176,607,887.81
  5. Step 5: Solve for x
    x = 176,607,887.81/15,157.77
  6. Step 6: Final answer
    x = 11,651.31

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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.