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Finding the Fourth Proportional to 13,786.76, 19,032.18 and 8,821.64

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Solution

The fourth proportional to 13,786.76, 19,032.18 and 8,821.64 is: 12,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.76 : 19,032.18 = 8,821.64 : x
  2. Step 2: Convert to fraction form
    13,786.76/19,032.18 = 8,821.64/x
  3. Step 3: Cross multiply
    13,786.76x = 19,032.18 × 8,821.64
  4. Step 4: Simplify right side
    13,786.76x = 167,895,040.38
  5. Step 5: Solve for x
    x = 167,895,040.38/13,786.76
  6. Step 6: Final answer
    x = 12,177.99

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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.