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Finding the Fourth Proportional to 17,142.18, 23,656.52 and 10,428.10

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Solution

The fourth proportional to 17,142.18, 23,656.52 and 10,428.10 is: 14,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.18 : 23,656.52 = 10,428.10 : x
  2. Step 2: Convert to fraction form
    17,142.18/23,656.52 = 10,428.10/x
  3. Step 3: Cross multiply
    17,142.18x = 23,656.52 × 10,428.10
  4. Step 4: Simplify right side
    17,142.18x = 246,692,556.21
  5. Step 5: Solve for x
    x = 246,692,556.21/17,142.18
  6. Step 6: Final answer
    x = 14,390.97

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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.