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Finding the Fourth Proportional to 23,807.81, 32,855.07 and 13,738.34

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Solution

The fourth proportional to 23,807.81, 32,855.07 and 13,738.34 is: 18,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.81 : 32,855.07 = 13,738.34 : x
  2. Step 2: Convert to fraction form
    23,807.81/32,855.07 = 13,738.34/x
  3. Step 3: Cross multiply
    23,807.81x = 32,855.07 × 13,738.34
  4. Step 4: Simplify right side
    23,807.81x = 451,373,958.11
  5. Step 5: Solve for x
    x = 451,373,958.11/23,807.81
  6. Step 6: Final answer
    x = 18,959.07

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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.