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Finding the Fourth Proportional to 24,401.64, 33,674.25 and 13,223.64

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Solution

The fourth proportional to 24,401.64, 33,674.25 and 13,223.64 is: 18,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401.64 : 33,674.25 = 13,223.64 : x
  2. Step 2: Convert to fraction form
    24,401.64/33,674.25 = 13,223.64/x
  3. Step 3: Cross multiply
    24,401.64x = 33,674.25 × 13,223.64
  4. Step 4: Simplify right side
    24,401.64x = 445,296,159.27
  5. Step 5: Solve for x
    x = 445,296,159.27/24,401.64
  6. Step 6: Final answer
    x = 18,248.62

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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.