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Finding the Fourth Proportional to 15,518.81, 23,292.79 and 8,128.58

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Solution

The fourth proportional to 15,518.81, 23,292.79 and 8,128.58 is: 12,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,518.81 : 23,292.79 = 8,128.58 : x
  2. Step 2: Convert to fraction form
    15,518.81/23,292.79 = 8,128.58/x
  3. Step 3: Cross multiply
    15,518.81x = 23,292.79 × 8,128.58
  4. Step 4: Simplify right side
    15,518.81x = 189,337,170.15
  5. Step 5: Solve for x
    x = 189,337,170.15/15,518.81
  6. Step 6: Final answer
    x = 12,200.49

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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.