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Finding the Fourth Proportional to 13,598.57, 20,388.80 and 6,937.48

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Solution

The fourth proportional to 13,598.57, 20,388.80 and 6,937.48 is: 10,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.57 : 20,388.80 = 6,937.48 : x
  2. Step 2: Convert to fraction form
    13,598.57/20,388.80 = 6,937.48/x
  3. Step 3: Cross multiply
    13,598.57x = 20,388.80 × 6,937.48
  4. Step 4: Simplify right side
    13,598.57x = 141,446,896.03
  5. Step 5: Solve for x
    x = 141,446,896.03/13,598.57
  6. Step 6: Final answer
    x = 10,401.60

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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.