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Finding the Fourth Proportional to 25,380.78, 38,082.06 and 9,809.34

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Solution

The fourth proportional to 25,380.78, 38,082.06 and 9,809.34 is: 14,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.78 : 38,082.06 = 9,809.34 : x
  2. Step 2: Convert to fraction form
    25,380.78/38,082.06 = 9,809.34/x
  3. Step 3: Cross multiply
    25,380.78x = 38,082.06 × 9,809.34
  4. Step 4: Simplify right side
    25,380.78x = 373,559,874.44
  5. Step 5: Solve for x
    x = 373,559,874.44/25,380.78
  6. Step 6: Final answer
    x = 14,718.22

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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.