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Finding the Fourth Proportional to 24,841.35, 37,265.72 and 8,203.14

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Solution

The fourth proportional to 24,841.35, 37,265.72 and 8,203.14 is: 12,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.35 : 37,265.72 = 8,203.14 : x
  2. Step 2: Convert to fraction form
    24,841.35/37,265.72 = 8,203.14/x
  3. Step 3: Cross multiply
    24,841.35x = 37,265.72 × 8,203.14
  4. Step 4: Simplify right side
    24,841.35x = 305,695,877.35
  5. Step 5: Solve for x
    x = 305,695,877.35/24,841.35
  6. Step 6: Final answer
    x = 12,305.93

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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.