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Finding the Fourth Proportional to 16,946.71, 25,424.09 and 5,853.49

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Solution

The fourth proportional to 16,946.71, 25,424.09 and 5,853.49 is: 8,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.71 : 25,424.09 = 5,853.49 : x
  2. Step 2: Convert to fraction form
    16,946.71/25,424.09 = 5,853.49/x
  3. Step 3: Cross multiply
    16,946.71x = 25,424.09 × 5,853.49
  4. Step 4: Simplify right side
    16,946.71x = 148,819,656.57
  5. Step 5: Solve for x
    x = 148,819,656.57/16,946.71
  6. Step 6: Final answer
    x = 8,781.63

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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.