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Finding the Fourth Proportional to 24,389.24, 36,589.62 and 8,807

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Solution

The fourth proportional to 24,389.24, 36,589.62 and 8,807 is: 13,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.24 : 36,589.62 = 8,807 : x
  2. Step 2: Convert to fraction form
    24,389.24/36,589.62 = 8,807/x
  3. Step 3: Cross multiply
    24,389.24x = 36,589.62 × 8,807
  4. Step 4: Simplify right side
    24,389.24x = 322,244,783.34
  5. Step 5: Solve for x
    x = 322,244,783.34/24,389.24
  6. Step 6: Final answer
    x = 13,212.58

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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.