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Finding the Fourth Proportional to 25,203.84, 37,814.24 and 11,161.92

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Solution

The fourth proportional to 25,203.84, 37,814.24 and 11,161.92 is: 16,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.84 : 37,814.24 = 11,161.92 : x
  2. Step 2: Convert to fraction form
    25,203.84/37,814.24 = 11,161.92/x
  3. Step 3: Cross multiply
    25,203.84x = 37,814.24 × 11,161.92
  4. Step 4: Simplify right side
    25,203.84x = 422,079,521.74
  5. Step 5: Solve for x
    x = 422,079,521.74/25,203.84
  6. Step 6: Final answer
    x = 16,746.64

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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.