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Finding the Fourth Proportional to 25,396.08, 38,072.24 and 9,824.64

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Solution

The fourth proportional to 25,396.08, 38,072.24 and 9,824.64 is: 14,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.08 : 38,072.24 = 9,824.64 : x
  2. Step 2: Convert to fraction form
    25,396.08/38,072.24 = 9,824.64/x
  3. Step 3: Cross multiply
    25,396.08x = 38,072.24 × 9,824.64
  4. Step 4: Simplify right side
    25,396.08x = 374,046,051.99
  5. Step 5: Solve for x
    x = 374,046,051.99/25,396.08
  6. Step 6: Final answer
    x = 14,728.50

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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.