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Finding the Fourth Proportional to 20,456.96, 28,210.56 and 12,992

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Solution

The fourth proportional to 20,456.96, 28,210.56 and 12,992 is: 17,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.96 : 28,210.56 = 12,992 : x
  2. Step 2: Convert to fraction form
    20,456.96/28,210.56 = 12,992/x
  3. Step 3: Cross multiply
    20,456.96x = 28,210.56 × 12,992
  4. Step 4: Simplify right side
    20,456.96x = 366,511,595.52
  5. Step 5: Solve for x
    x = 366,511,595.52/20,456.96
  6. Step 6: Final answer
    x = 17,916.23

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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.