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Finding the Fourth Proportional to 24,585.78, 33,928.32 and 13,407.78

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Solution

The fourth proportional to 24,585.78, 33,928.32 and 13,407.78 is: 18,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,585.78 : 33,928.32 = 13,407.78 : x
  2. Step 2: Convert to fraction form
    24,585.78/33,928.32 = 13,407.78/x
  3. Step 3: Cross multiply
    24,585.78x = 33,928.32 × 13,407.78
  4. Step 4: Simplify right side
    24,585.78x = 454,903,450.33
  5. Step 5: Solve for x
    x = 454,903,450.33/24,585.78
  6. Step 6: Final answer
    x = 18,502.71

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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.