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Finding the Fourth Proportional to 13,146.84, 19,711.08 and 6,119.28

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Solution

The fourth proportional to 13,146.84, 19,711.08 and 6,119.28 is: 9,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.84 : 19,711.08 = 6,119.28 : x
  2. Step 2: Convert to fraction form
    13,146.84/19,711.08 = 6,119.28/x
  3. Step 3: Cross multiply
    13,146.84x = 19,711.08 × 6,119.28
  4. Step 4: Simplify right side
    13,146.84x = 120,617,617.62
  5. Step 5: Solve for x
    x = 120,617,617.62/13,146.84
  6. Step 6: Final answer
    x = 9,174.65

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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.