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Finding the Fourth Proportional to 24,406.38, 33,681 and 13,228.38

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Solution

The fourth proportional to 24,406.38, 33,681 and 13,228.38 is: 18,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.38 : 33,681 = 13,228.38 : x
  2. Step 2: Convert to fraction form
    24,406.38/33,681 = 13,228.38/x
  3. Step 3: Cross multiply
    24,406.38x = 33,681 × 13,228.38
  4. Step 4: Simplify right side
    24,406.38x = 445,545,066.78
  5. Step 5: Solve for x
    x = 445,545,066.78/24,406.38
  6. Step 6: Final answer
    x = 18,255.27

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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.