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Finding the Fourth Proportional to 17,177.76, 23,706.16 and 10,462.31

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Solution

The fourth proportional to 17,177.76, 23,706.16 and 10,462.31 is: 14,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.76 : 23,706.16 = 10,462.31 : x
  2. Step 2: Convert to fraction form
    17,177.76/23,706.16 = 10,462.31/x
  3. Step 3: Cross multiply
    17,177.76x = 23,706.16 × 10,462.31
  4. Step 4: Simplify right side
    17,177.76x = 248,021,194.83
  5. Step 5: Solve for x
    x = 248,021,194.83/17,177.76
  6. Step 6: Final answer
    x = 14,438.51

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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.