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Finding the Fourth Proportional to 17,130.19, 23,638.36 and 10,414.89

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Solution

The fourth proportional to 17,130.19, 23,638.36 and 10,414.89 is: 14,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.19 : 23,638.36 = 10,414.89 : x
  2. Step 2: Convert to fraction form
    17,130.19/23,638.36 = 10,414.89/x
  3. Step 3: Cross multiply
    17,130.19x = 23,638.36 × 10,414.89
  4. Step 4: Simplify right side
    17,130.19x = 246,190,919.18
  5. Step 5: Solve for x
    x = 246,190,919.18/17,130.19
  6. Step 6: Final answer
    x = 14,371.76

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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.