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Finding the Fourth Proportional to 17,214.30, 23,760.39 and 10,142.94

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Solution

The fourth proportional to 17,214.30, 23,760.39 and 10,142.94 is: 14,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.30 : 23,760.39 = 10,142.94 : x
  2. Step 2: Convert to fraction form
    17,214.30/23,760.39 = 10,142.94/x
  3. Step 3: Cross multiply
    17,214.30x = 23,760.39 × 10,142.94
  4. Step 4: Simplify right side
    17,214.30x = 241,000,210.15
  5. Step 5: Solve for x
    x = 241,000,210.15/17,214.30
  6. Step 6: Final answer
    x = 14,000.00

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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.