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Finding the Fourth Proportional to 25,349.63, 38,024.44 and 6,881.63

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Solution

The fourth proportional to 25,349.63, 38,024.44 and 6,881.63 is: 10,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.63 : 38,024.44 = 6,881.63 : x
  2. Step 2: Convert to fraction form
    25,349.63/38,024.44 = 6,881.63/x
  3. Step 3: Cross multiply
    25,349.63x = 38,024.44 × 6,881.63
  4. Step 4: Simplify right side
    25,349.63x = 261,669,919.71
  5. Step 5: Solve for x
    x = 261,669,919.71/25,349.63
  6. Step 6: Final answer
    x = 10,322.44

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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.