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Finding the Fourth Proportional to 13,598.67, 20,395.71 and 5,282.40

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Solution

The fourth proportional to 13,598.67, 20,395.71 and 5,282.40 is: 7,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.67 : 20,395.71 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    13,598.67/20,395.71 = 5,282.40/x
  3. Step 3: Cross multiply
    13,598.67x = 20,395.71 × 5,282.40
  4. Step 4: Simplify right side
    13,598.67x = 107,738,298.50
  5. Step 5: Solve for x
    x = 107,738,298.50/13,598.67
  6. Step 6: Final answer
    x = 7,922.71

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Why These Related Problems?

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