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Finding the Fourth Proportional to 12,776.86, 17,639.40 and 8,533.81

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Solution

The fourth proportional to 12,776.86, 17,639.40 and 8,533.81 is: 11,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.86 : 17,639.40 = 8,533.81 : x
  2. Step 2: Convert to fraction form
    12,776.86/17,639.40 = 8,533.81/x
  3. Step 3: Cross multiply
    12,776.86x = 17,639.40 × 8,533.81
  4. Step 4: Simplify right side
    12,776.86x = 150,531,288.11
  5. Step 5: Solve for x
    x = 150,531,288.11/12,776.86
  6. Step 6: Final answer
    x = 11,781.56

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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.