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Finding the Fourth Proportional to 12,220.68, 18,302.06 and 7,824.52

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Solution

The fourth proportional to 12,220.68, 18,302.06 and 7,824.52 is: 11,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.68 : 18,302.06 = 7,824.52 : x
  2. Step 2: Convert to fraction form
    12,220.68/18,302.06 = 7,824.52/x
  3. Step 3: Cross multiply
    12,220.68x = 18,302.06 × 7,824.52
  4. Step 4: Simplify right side
    12,220.68x = 143,204,834.51
  5. Step 5: Solve for x
    x = 143,204,834.51/12,220.68
  6. Step 6: Final answer
    x = 11,718.24

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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.