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Finding the Fourth Proportional to 13,488.95, 18,610.61 and 7,822.54

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Solution

The fourth proportional to 13,488.95, 18,610.61 and 7,822.54 is: 10,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.95 : 18,610.61 = 7,822.54 : x
  2. Step 2: Convert to fraction form
    13,488.95/18,610.61 = 7,822.54/x
  3. Step 3: Cross multiply
    13,488.95x = 18,610.61 × 7,822.54
  4. Step 4: Simplify right side
    13,488.95x = 145,582,269.30
  5. Step 5: Solve for x
    x = 145,582,269.30/13,488.95
  6. Step 6: Final answer
    x = 10,792.71

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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.