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Finding the Fourth Proportional to 22,431.30, 33,647.88 and 8,389.86

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Solution

The fourth proportional to 22,431.30, 33,647.88 and 8,389.86 is: 12,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.30 : 33,647.88 = 8,389.86 : x
  2. Step 2: Convert to fraction form
    22,431.30/33,647.88 = 8,389.86/x
  3. Step 3: Cross multiply
    22,431.30x = 33,647.88 × 8,389.86
  4. Step 4: Simplify right side
    22,431.30x = 282,301,002.50
  5. Step 5: Solve for x
    x = 282,301,002.50/22,431.30
  6. Step 6: Final answer
    x = 12,585.14

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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.