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Finding the Fourth Proportional to 17,177.70, 23,704.12 and 10,102.76

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Solution

The fourth proportional to 17,177.70, 23,704.12 and 10,102.76 is: 13,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.70 : 23,704.12 = 10,102.76 : x
  2. Step 2: Convert to fraction form
    17,177.70/23,704.12 = 10,102.76/x
  3. Step 3: Cross multiply
    17,177.70x = 23,704.12 × 10,102.76
  4. Step 4: Simplify right side
    17,177.70x = 239,477,035.37
  5. Step 5: Solve for x
    x = 239,477,035.37/17,177.70
  6. Step 6: Final answer
    x = 13,941.16

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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.