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Finding the Fourth Proportional to 13,531.50, 18,673.47 and 8,225.33

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Solution

The fourth proportional to 13,531.50, 18,673.47 and 8,225.33 is: 11,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.50 : 18,673.47 = 8,225.33 : x
  2. Step 2: Convert to fraction form
    13,531.50/18,673.47 = 8,225.33/x
  3. Step 3: Cross multiply
    13,531.50x = 18,673.47 × 8,225.33
  4. Step 4: Simplify right side
    13,531.50x = 153,595,359.63
  5. Step 5: Solve for x
    x = 153,595,359.63/13,531.50
  6. Step 6: Final answer
    x = 11,350.95

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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.