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Finding the Fourth Proportional to 27,472.08, 41,106 and 16,384.80

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Solution

The fourth proportional to 27,472.08, 41,106 and 16,384.80 is: 24,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.08 : 41,106 = 16,384.80 : x
  2. Step 2: Convert to fraction form
    27,472.08/41,106 = 16,384.80/x
  3. Step 3: Cross multiply
    27,472.08x = 41,106 × 16,384.80
  4. Step 4: Simplify right side
    27,472.08x = 673,513,588.80
  5. Step 5: Solve for x
    x = 673,513,588.80/27,472.08
  6. Step 6: Final answer
    x = 24,516.29

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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.