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Finding the Fourth Proportional to 24,949.44, 37,424.16 and 8,533.44

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Solution

The fourth proportional to 24,949.44, 37,424.16 and 8,533.44 is: 12,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.44 : 37,424.16 = 8,533.44 : x
  2. Step 2: Convert to fraction form
    24,949.44/37,424.16 = 8,533.44/x
  3. Step 3: Cross multiply
    24,949.44x = 37,424.16 × 8,533.44
  4. Step 4: Simplify right side
    24,949.44x = 319,356,823.91
  5. Step 5: Solve for x
    x = 319,356,823.91/24,949.44
  6. Step 6: Final answer
    x = 12,800.16

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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.