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Finding the Fourth Proportional to 25,623.16, 38,441.58 and 8,093.32

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Solution

The fourth proportional to 25,623.16, 38,441.58 and 8,093.32 is: 12,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,623.16 : 38,441.58 = 8,093.32 : x
  2. Step 2: Convert to fraction form
    25,623.16/38,441.58 = 8,093.32/x
  3. Step 3: Cross multiply
    25,623.16x = 38,441.58 × 8,093.32
  4. Step 4: Simplify right side
    25,623.16x = 311,120,008.25
  5. Step 5: Solve for x
    x = 311,120,008.25/25,623.16
  6. Step 6: Final answer
    x = 12,142.14

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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.