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Finding the Fourth Proportional to 24,824.77, 37,216.21 and 10,774.21

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Solution

The fourth proportional to 24,824.77, 37,216.21 and 10,774.21 is: 16,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.77 : 37,216.21 = 10,774.21 : x
  2. Step 2: Convert to fraction form
    24,824.77/37,216.21 = 10,774.21/x
  3. Step 3: Cross multiply
    24,824.77x = 37,216.21 × 10,774.21
  4. Step 4: Simplify right side
    24,824.77x = 400,975,261.94
  5. Step 5: Solve for x
    x = 400,975,261.94/24,824.77
  6. Step 6: Final answer
    x = 16,152.22

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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.