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Finding the Fourth Proportional to 12,053.46, 16,632.32 and 7,016.87

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Solution

The fourth proportional to 12,053.46, 16,632.32 and 7,016.87 is: 9,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.46 : 16,632.32 = 7,016.87 : x
  2. Step 2: Convert to fraction form
    12,053.46/16,632.32 = 7,016.87/x
  3. Step 3: Cross multiply
    12,053.46x = 16,632.32 × 7,016.87
  4. Step 4: Simplify right side
    12,053.46x = 116,706,791.34
  5. Step 5: Solve for x
    x = 116,706,791.34/12,053.46
  6. Step 6: Final answer
    x = 9,682.43

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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.