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Finding the Fourth Proportional to 24,794.88, 37,192.52 and 9,212.50

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Solution

The fourth proportional to 24,794.88, 37,192.52 and 9,212.50 is: 13,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.88 : 37,192.52 = 9,212.50 : x
  2. Step 2: Convert to fraction form
    24,794.88/37,192.52 = 9,212.50/x
  3. Step 3: Cross multiply
    24,794.88x = 37,192.52 × 9,212.50
  4. Step 4: Simplify right side
    24,794.88x = 342,636,090.50
  5. Step 5: Solve for x
    x = 342,636,090.50/24,794.88
  6. Step 6: Final answer
    x = 13,818.82

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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.