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Finding the Fourth Proportional to 20,993.16, 28,970.32 and 11,432.94

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Solution

The fourth proportional to 20,993.16, 28,970.32 and 11,432.94 is: 15,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.16 : 28,970.32 = 11,432.94 : x
  2. Step 2: Convert to fraction form
    20,993.16/28,970.32 = 11,432.94/x
  3. Step 3: Cross multiply
    20,993.16x = 28,970.32 × 11,432.94
  4. Step 4: Simplify right side
    20,993.16x = 331,215,930.34
  5. Step 5: Solve for x
    x = 331,215,930.34/20,993.16
  6. Step 6: Final answer
    x = 15,777.33

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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.