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Finding the Fourth Proportional to 24,291.40, 33,522.78 and 13,680.40

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Solution

The fourth proportional to 24,291.40, 33,522.78 and 13,680.40 is: 18,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.40 : 33,522.78 = 13,680.40 : x
  2. Step 2: Convert to fraction form
    24,291.40/33,522.78 = 13,680.40/x
  3. Step 3: Cross multiply
    24,291.40x = 33,522.78 × 13,680.40
  4. Step 4: Simplify right side
    24,291.40x = 458,605,039.51
  5. Step 5: Solve for x
    x = 458,605,039.51/24,291.40
  6. Step 6: Final answer
    x = 18,879.32

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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.