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Finding the Fourth Proportional to 28,083.14, 42,113 and 11,431.92

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Solution

The fourth proportional to 28,083.14, 42,113 and 11,431.92 is: 17,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083.14 : 42,113 = 11,431.92 : x
  2. Step 2: Convert to fraction form
    28,083.14/42,113 = 11,431.92/x
  3. Step 3: Cross multiply
    28,083.14x = 42,113 × 11,431.92
  4. Step 4: Simplify right side
    28,083.14x = 481,432,446.96
  5. Step 5: Solve for x
    x = 481,432,446.96/28,083.14
  6. Step 6: Final answer
    x = 17,143.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.