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Finding the Fourth Proportional to 13,179.84, 19,767.48 and 6,160.49

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Solution

The fourth proportional to 13,179.84, 19,767.48 and 6,160.49 is: 9,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.84 : 19,767.48 = 6,160.49 : x
  2. Step 2: Convert to fraction form
    13,179.84/19,767.48 = 6,160.49/x
  3. Step 3: Cross multiply
    13,179.84x = 19,767.48 × 6,160.49
  4. Step 4: Simplify right side
    13,179.84x = 121,777,264.03
  5. Step 5: Solve for x
    x = 121,777,264.03/13,179.84
  6. Step 6: Final answer
    x = 9,239.66

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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.