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Finding the Fourth Proportional to 13,119.13, 19,681.44 and 7,263.46

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Solution

The fourth proportional to 13,119.13, 19,681.44 and 7,263.46 is: 10,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.13 : 19,681.44 = 7,263.46 : x
  2. Step 2: Convert to fraction form
    13,119.13/19,681.44 = 7,263.46/x
  3. Step 3: Cross multiply
    13,119.13x = 19,681.44 × 7,263.46
  4. Step 4: Simplify right side
    13,119.13x = 142,955,352.18
  5. Step 5: Solve for x
    x = 142,955,352.18/13,119.13
  6. Step 6: Final answer
    x = 10,896.71

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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.