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Finding the Fourth Proportional to 13,222.71, 18,246.74 and 7,254.26

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Solution

The fourth proportional to 13,222.71, 18,246.74 and 7,254.26 is: 10,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.71 : 18,246.74 = 7,254.26 : x
  2. Step 2: Convert to fraction form
    13,222.71/18,246.74 = 7,254.26/x
  3. Step 3: Cross multiply
    13,222.71x = 18,246.74 × 7,254.26
  4. Step 4: Simplify right side
    13,222.71x = 132,366,468.61
  5. Step 5: Solve for x
    x = 132,366,468.61/13,222.71
  6. Step 6: Final answer
    x = 10,010.54

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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.