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Finding the Fourth Proportional to 13,597.16, 20,392.02 and 3,734.10

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Solution

The fourth proportional to 13,597.16, 20,392.02 and 3,734.10 is: 5,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.16 : 20,392.02 = 3,734.10 : x
  2. Step 2: Convert to fraction form
    13,597.16/20,392.02 = 3,734.10/x
  3. Step 3: Cross multiply
    13,597.16x = 20,392.02 × 3,734.10
  4. Step 4: Simplify right side
    13,597.16x = 76,145,841.88
  5. Step 5: Solve for x
    x = 76,145,841.88/13,597.16
  6. Step 6: Final answer
    x = 5,600.13

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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.