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Finding the Fourth Proportional to 20,989.64, 28,965.52 and 11,558

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Solution

The fourth proportional to 20,989.64, 28,965.52 and 11,558 is: 15,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.64 : 28,965.52 = 11,558 : x
  2. Step 2: Convert to fraction form
    20,989.64/28,965.52 = 11,558/x
  3. Step 3: Cross multiply
    20,989.64x = 28,965.52 × 11,558
  4. Step 4: Simplify right side
    20,989.64x = 334,783,480.16
  5. Step 5: Solve for x
    x = 334,783,480.16/20,989.64
  6. Step 6: Final answer
    x = 15,949.94

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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.