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Finding the Fourth Proportional to 13,486.60, 18,615.62 and 7,822.78

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Solution

The fourth proportional to 13,486.60, 18,615.62 and 7,822.78 is: 10,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.60 : 18,615.62 = 7,822.78 : x
  2. Step 2: Convert to fraction form
    13,486.60/18,615.62 = 7,822.78/x
  3. Step 3: Cross multiply
    13,486.60x = 18,615.62 × 7,822.78
  4. Step 4: Simplify right side
    13,486.60x = 145,625,872.84
  5. Step 5: Solve for x
    x = 145,625,872.84/13,486.60
  6. Step 6: Final answer
    x = 10,797.82

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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.