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Finding the Fourth Proportional to 13,487.12, 18,612.39 and 7,823.18

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Solution

The fourth proportional to 13,487.12, 18,612.39 and 7,823.18 is: 10,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.12 : 18,612.39 = 7,823.18 : x
  2. Step 2: Convert to fraction form
    13,487.12/18,612.39 = 7,823.18/x
  3. Step 3: Cross multiply
    13,487.12x = 18,612.39 × 7,823.18
  4. Step 4: Simplify right side
    13,487.12x = 145,608,077.20
  5. Step 5: Solve for x
    x = 145,608,077.20/13,487.12
  6. Step 6: Final answer
    x = 10,796.08

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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.