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Finding the Fourth Proportional to 12,588.77, 17,384.19 and 8,120.27

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Solution

The fourth proportional to 12,588.77, 17,384.19 and 8,120.27 is: 11,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.77 : 17,384.19 = 8,120.27 : x
  2. Step 2: Convert to fraction form
    12,588.77/17,384.19 = 8,120.27/x
  3. Step 3: Cross multiply
    12,588.77x = 17,384.19 × 8,120.27
  4. Step 4: Simplify right side
    12,588.77x = 141,164,316.53
  5. Step 5: Solve for x
    x = 141,164,316.53/12,588.77
  6. Step 6: Final answer
    x = 11,213.51

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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.