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Finding the Fourth Proportional to 25,598.42, 38,408.64 and 9,808.28

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Solution

The fourth proportional to 25,598.42, 38,408.64 and 9,808.28 is: 14,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.42 : 38,408.64 = 9,808.28 : x
  2. Step 2: Convert to fraction form
    25,598.42/38,408.64 = 9,808.28/x
  3. Step 3: Cross multiply
    25,598.42x = 38,408.64 × 9,808.28
  4. Step 4: Simplify right side
    25,598.42x = 376,722,695.54
  5. Step 5: Solve for x
    x = 376,722,695.54/25,598.42
  6. Step 6: Final answer
    x = 14,716.64

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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.