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Finding the Fourth Proportional to 24,783.92, 34,201.90 and 13,453.44

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Solution

The fourth proportional to 24,783.92, 34,201.90 and 13,453.44 is: 18,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.92 : 34,201.90 = 13,453.44 : x
  2. Step 2: Convert to fraction form
    24,783.92/34,201.90 = 13,453.44/x
  3. Step 3: Cross multiply
    24,783.92x = 34,201.90 × 13,453.44
  4. Step 4: Simplify right side
    24,783.92x = 460,133,243.17
  5. Step 5: Solve for x
    x = 460,133,243.17/24,783.92
  6. Step 6: Final answer
    x = 18,565.80

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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.