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Finding the Fourth Proportional to 12,210.83, 18,288.56 and 7,768.49

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Solution

The fourth proportional to 12,210.83, 18,288.56 and 7,768.49 is: 11,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.83 : 18,288.56 = 7,768.49 : x
  2. Step 2: Convert to fraction form
    12,210.83/18,288.56 = 7,768.49/x
  3. Step 3: Cross multiply
    12,210.83x = 18,288.56 × 7,768.49
  4. Step 4: Simplify right side
    12,210.83x = 142,074,365.19
  5. Step 5: Solve for x
    x = 142,074,365.19/12,210.83
  6. Step 6: Final answer
    x = 11,635.12

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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.