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Finding the Fourth Proportional to 12,222.31, 18,330.53 and 5,642.18

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Solution

The fourth proportional to 12,222.31, 18,330.53 and 5,642.18 is: 8,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.31 : 18,330.53 = 5,642.18 : x
  2. Step 2: Convert to fraction form
    12,222.31/18,330.53 = 5,642.18/x
  3. Step 3: Cross multiply
    12,222.31x = 18,330.53 × 5,642.18
  4. Step 4: Simplify right side
    12,222.31x = 103,424,044.00
  5. Step 5: Solve for x
    x = 103,424,044.00/12,222.31
  6. Step 6: Final answer
    x = 8,461.91

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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.