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Finding the Fourth Proportional to 24,843.81, 37,264.73 and 8,203.35

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Solution

The fourth proportional to 24,843.81, 37,264.73 and 8,203.35 is: 12,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.81 : 37,264.73 = 8,203.35 : x
  2. Step 2: Convert to fraction form
    24,843.81/37,264.73 = 8,203.35/x
  3. Step 3: Cross multiply
    24,843.81x = 37,264.73 × 8,203.35
  4. Step 4: Simplify right side
    24,843.81x = 305,695,581.83
  5. Step 5: Solve for x
    x = 305,695,581.83/24,843.81
  6. Step 6: Final answer
    x = 12,304.70

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1.5x scale

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.