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Finding the Fourth Proportional to 13,175.80, 19,715.70 and 9,719.80

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Solution

The fourth proportional to 13,175.80, 19,715.70 and 9,719.80 is: 14,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.80 : 19,715.70 = 9,719.80 : x
  2. Step 2: Convert to fraction form
    13,175.80/19,715.70 = 9,719.80/x
  3. Step 3: Cross multiply
    13,175.80x = 19,715.70 × 9,719.80
  4. Step 4: Simplify right side
    13,175.80x = 191,632,660.86
  5. Step 5: Solve for x
    x = 191,632,660.86/13,175.80
  6. Step 6: Final answer
    x = 14,544.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.