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Finding the Fourth Proportional to 24,801, 37,192.32 and 8,156.18

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Solution

The fourth proportional to 24,801, 37,192.32 and 8,156.18 is: 12,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801 : 37,192.32 = 8,156.18 : x
  2. Step 2: Convert to fraction form
    24,801/37,192.32 = 8,156.18/x
  3. Step 3: Cross multiply
    24,801x = 37,192.32 × 8,156.18
  4. Step 4: Simplify right side
    24,801x = 303,347,070.58
  5. Step 5: Solve for x
    x = 303,347,070.58/24,801
  6. Step 6: Final answer
    x = 12,231.24

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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.