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Finding the Fourth Proportional to 12,572.23, 18,829.62 and 6,003.02

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Solution

The fourth proportional to 12,572.23, 18,829.62 and 6,003.02 is: 8,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.23 : 18,829.62 = 6,003.02 : x
  2. Step 2: Convert to fraction form
    12,572.23/18,829.62 = 6,003.02/x
  3. Step 3: Cross multiply
    12,572.23x = 18,829.62 × 6,003.02
  4. Step 4: Simplify right side
    12,572.23x = 113,034,585.45
  5. Step 5: Solve for x
    x = 113,034,585.45/12,572.23
  6. Step 6: Final answer
    x = 8,990.81

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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.