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Finding the Fourth Proportional to 25,967.58, 38,955.11 and 8,192.20

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Solution

The fourth proportional to 25,967.58, 38,955.11 and 8,192.20 is: 12,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,967.58 : 38,955.11 = 8,192.20 : x
  2. Step 2: Convert to fraction form
    25,967.58/38,955.11 = 8,192.20/x
  3. Step 3: Cross multiply
    25,967.58x = 38,955.11 × 8,192.20
  4. Step 4: Simplify right side
    25,967.58x = 319,128,052.14
  5. Step 5: Solve for x
    x = 319,128,052.14/25,967.58
  6. Step 6: Final answer
    x = 12,289.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.