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Finding the Fourth Proportional to 13,016.13, 17,964.69 and 7,427.13

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Solution

The fourth proportional to 13,016.13, 17,964.69 and 7,427.13 is: 10,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.13 : 17,964.69 = 7,427.13 : x
  2. Step 2: Convert to fraction form
    13,016.13/17,964.69 = 7,427.13/x
  3. Step 3: Cross multiply
    13,016.13x = 17,964.69 × 7,427.13
  4. Step 4: Simplify right side
    13,016.13x = 133,426,088.04
  5. Step 5: Solve for x
    x = 133,426,088.04/13,016.13
  6. Step 6: Final answer
    x = 10,250.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.