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Finding the Fourth Proportional to 13,002.68, 19,486.24 and 7,071.81

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Solution

The fourth proportional to 13,002.68, 19,486.24 and 7,071.81 is: 10,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.68 : 19,486.24 = 7,071.81 : x
  2. Step 2: Convert to fraction form
    13,002.68/19,486.24 = 7,071.81/x
  3. Step 3: Cross multiply
    13,002.68x = 19,486.24 × 7,071.81
  4. Step 4: Simplify right side
    13,002.68x = 137,802,896.14
  5. Step 5: Solve for x
    x = 137,802,896.14/13,002.68
  6. Step 6: Final answer
    x = 10,598.04

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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.