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Finding the Fourth Proportional to 13,094.46, 18,071.24 and 7,992.14

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Solution

The fourth proportional to 13,094.46, 18,071.24 and 7,992.14 is: 11,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.46 : 18,071.24 = 7,992.14 : x
  2. Step 2: Convert to fraction form
    13,094.46/18,071.24 = 7,992.14/x
  3. Step 3: Cross multiply
    13,094.46x = 18,071.24 × 7,992.14
  4. Step 4: Simplify right side
    13,094.46x = 144,427,749.74
  5. Step 5: Solve for x
    x = 144,427,749.74/13,094.46
  6. Step 6: Final answer
    x = 11,029.68

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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.