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Finding the Fourth Proportional to 12,116.22, 16,715.64 and 8,937.07

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Solution

The fourth proportional to 12,116.22, 16,715.64 and 8,937.07 is: 12,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.22 : 16,715.64 = 8,937.07 : x
  2. Step 2: Convert to fraction form
    12,116.22/16,715.64 = 8,937.07/x
  3. Step 3: Cross multiply
    12,116.22x = 16,715.64 × 8,937.07
  4. Step 4: Simplify right side
    12,116.22x = 149,388,844.77
  5. Step 5: Solve for x
    x = 149,388,844.77/12,116.22
  6. Step 6: Final answer
    x = 12,329.66

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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.