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Finding the Fourth Proportional to 13,597.10, 20,383.16 and 5,282.66

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Solution

The fourth proportional to 13,597.10, 20,383.16 and 5,282.66 is: 7,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.10 : 20,383.16 = 5,282.66 : x
  2. Step 2: Convert to fraction form
    13,597.10/20,383.16 = 5,282.66/x
  3. Step 3: Cross multiply
    13,597.10x = 20,383.16 × 5,282.66
  4. Step 4: Simplify right side
    13,597.10x = 107,677,304.01
  5. Step 5: Solve for x
    x = 107,677,304.01/13,597.10
  6. Step 6: Final answer
    x = 7,919.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.