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Finding the Fourth Proportional to 13,040.10, 17,995.47 and 7,071.81

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Solution

The fourth proportional to 13,040.10, 17,995.47 and 7,071.81 is: 9,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.10 : 17,995.47 = 7,071.81 : x
  2. Step 2: Convert to fraction form
    13,040.10/17,995.47 = 7,071.81/x
  3. Step 3: Cross multiply
    13,040.10x = 17,995.47 × 7,071.81
  4. Step 4: Simplify right side
    13,040.10x = 127,260,544.70
  5. Step 5: Solve for x
    x = 127,260,544.70/13,040.10
  6. Step 6: Final answer
    x = 9,759.17

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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.