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Finding the Fourth Proportional to 13,165.47, 18,071.64 and 11,639.97

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Solution

The fourth proportional to 13,165.47, 18,071.64 and 11,639.97 is: 15,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.47 : 18,071.64 = 11,639.97 : x
  2. Step 2: Convert to fraction form
    13,165.47/18,071.64 = 11,639.97/x
  3. Step 3: Cross multiply
    13,165.47x = 18,071.64 × 11,639.97
  4. Step 4: Simplify right side
    13,165.47x = 210,353,347.45
  5. Step 5: Solve for x
    x = 210,353,347.45/13,165.47
  6. Step 6: Final answer
    x = 15,977.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.