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Finding the Fourth Proportional to 13,168, 19,709.36 and 6,919.12

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Solution

The fourth proportional to 13,168, 19,709.36 and 6,919.12 is: 10,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168 : 19,709.36 = 6,919.12 : x
  2. Step 2: Convert to fraction form
    13,168/19,709.36 = 6,919.12/x
  3. Step 3: Cross multiply
    13,168x = 19,709.36 × 6,919.12
  4. Step 4: Simplify right side
    13,168x = 136,371,426.96
  5. Step 5: Solve for x
    x = 136,371,426.96/13,168
  6. Step 6: Final answer
    x = 10,356.27

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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.