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Finding the Fourth Proportional to 24,644.52, 36,971.88 and 8,004.90

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Solution

The fourth proportional to 24,644.52, 36,971.88 and 8,004.90 is: 12,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.52 : 36,971.88 = 8,004.90 : x
  2. Step 2: Convert to fraction form
    24,644.52/36,971.88 = 8,004.90/x
  3. Step 3: Cross multiply
    24,644.52x = 36,971.88 × 8,004.90
  4. Step 4: Simplify right side
    24,644.52x = 295,956,202.21
  5. Step 5: Solve for x
    x = 295,956,202.21/24,644.52
  6. Step 6: Final answer
    x = 12,009.01

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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.