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Finding the Fourth Proportional to 13,874.61, 19,145.49 and 8,209.60

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Solution

The fourth proportional to 13,874.61, 19,145.49 and 8,209.60 is: 11,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.61 : 19,145.49 = 8,209.60 : x
  2. Step 2: Convert to fraction form
    13,874.61/19,145.49 = 8,209.60/x
  3. Step 3: Cross multiply
    13,874.61x = 19,145.49 × 8,209.60
  4. Step 4: Simplify right side
    13,874.61x = 157,176,719.71
  5. Step 5: Solve for x
    x = 157,176,719.71/13,874.61
  6. Step 6: Final answer
    x = 11,328.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.