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Finding the Fourth Proportional to 24,794.70, 34,216.70 and 13,464.22

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Solution

The fourth proportional to 24,794.70, 34,216.70 and 13,464.22 is: 18,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.70 : 34,216.70 = 13,464.22 : x
  2. Step 2: Convert to fraction form
    24,794.70/34,216.70 = 13,464.22/x
  3. Step 3: Cross multiply
    24,794.70x = 34,216.70 × 13,464.22
  4. Step 4: Simplify right side
    24,794.70x = 460,701,176.47
  5. Step 5: Solve for x
    x = 460,701,176.47/24,794.70
  6. Step 6: Final answer
    x = 18,580.63

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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.