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Finding the Fourth Proportional to 12,210.13, 18,314.38 and 7,310.17

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Solution

The fourth proportional to 12,210.13, 18,314.38 and 7,310.17 is: 10,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.13 : 18,314.38 = 7,310.17 : x
  2. Step 2: Convert to fraction form
    12,210.13/18,314.38 = 7,310.17/x
  3. Step 3: Cross multiply
    12,210.13x = 18,314.38 × 7,310.17
  4. Step 4: Simplify right side
    12,210.13x = 133,881,231.24
  5. Step 5: Solve for x
    x = 133,881,231.24/12,210.13
  6. Step 6: Final answer
    x = 10,964.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.