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Finding the Fourth Proportional to 15,103.40, 22,652 and 5,740.14

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Solution

The fourth proportional to 15,103.40, 22,652 and 5,740.14 is: 8,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,103.40 : 22,652 = 5,740.14 : x
  2. Step 2: Convert to fraction form
    15,103.40/22,652 = 5,740.14/x
  3. Step 3: Cross multiply
    15,103.40x = 22,652 × 5,740.14
  4. Step 4: Simplify right side
    15,103.40x = 130,025,651.28
  5. Step 5: Solve for x
    x = 130,025,651.28/15,103.40
  6. Step 6: Final answer
    x = 8,609.03

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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.