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Finding the Fourth Proportional to 25,632.36, 38,446.44 and 8,102.34

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Solution

The fourth proportional to 25,632.36, 38,446.44 and 8,102.34 is: 12,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.36 : 38,446.44 = 8,102.34 : x
  2. Step 2: Convert to fraction form
    25,632.36/38,446.44 = 8,102.34/x
  3. Step 3: Cross multiply
    25,632.36x = 38,446.44 × 8,102.34
  4. Step 4: Simplify right side
    25,632.36x = 311,506,128.67
  5. Step 5: Solve for x
    x = 311,506,128.67/25,632.36
  6. Step 6: Final answer
    x = 12,152.85

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