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Finding the Fourth Proportional to 24,824.81, 34,256.81 and 13,494.23

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Solution

The fourth proportional to 24,824.81, 34,256.81 and 13,494.23 is: 18,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.81 : 34,256.81 = 13,494.23 : x
  2. Step 2: Convert to fraction form
    24,824.81/34,256.81 = 13,494.23/x
  3. Step 3: Cross multiply
    24,824.81x = 34,256.81 × 13,494.23
  4. Step 4: Simplify right side
    24,824.81x = 462,269,392.58
  5. Step 5: Solve for x
    x = 462,269,392.58/24,824.81
  6. Step 6: Final answer
    x = 18,621.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.