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Finding the Fourth Proportional to 13,069.32, 19,616.94 and 7,228.68

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Solution

The fourth proportional to 13,069.32, 19,616.94 and 7,228.68 is: 10,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.32 : 19,616.94 = 7,228.68 : x
  2. Step 2: Convert to fraction form
    13,069.32/19,616.94 = 7,228.68/x
  3. Step 3: Cross multiply
    13,069.32x = 19,616.94 × 7,228.68
  4. Step 4: Simplify right side
    13,069.32x = 141,804,581.84
  5. Step 5: Solve for x
    x = 141,804,581.84/13,069.32
  6. Step 6: Final answer
    x = 10,850.19

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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.