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Finding the Fourth Proportional to 13,489.12, 18,616.40 and 7,822.16

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Solution

The fourth proportional to 13,489.12, 18,616.40 and 7,822.16 is: 10,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.12 : 18,616.40 = 7,822.16 : x
  2. Step 2: Convert to fraction form
    13,489.12/18,616.40 = 7,822.16/x
  3. Step 3: Cross multiply
    13,489.12x = 18,616.40 × 7,822.16
  4. Step 4: Simplify right side
    13,489.12x = 145,620,459.42
  5. Step 5: Solve for x
    x = 145,620,459.42/13,489.12
  6. Step 6: Final answer
    x = 10,795.40

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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.