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Finding the Fourth Proportional to 13,872.69, 19,145.07 and 8,210.79

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Solution

The fourth proportional to 13,872.69, 19,145.07 and 8,210.79 is: 11,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.69 : 19,145.07 = 8,210.79 : x
  2. Step 2: Convert to fraction form
    13,872.69/19,145.07 = 8,210.79/x
  3. Step 3: Cross multiply
    13,872.69x = 19,145.07 × 8,210.79
  4. Step 4: Simplify right side
    13,872.69x = 157,196,149.31
  5. Step 5: Solve for x
    x = 157,196,149.31/13,872.69
  6. Step 6: Final answer
    x = 11,331.34

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