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Finding the Fourth Proportional to 20,996.16, 28,972.44 and 11,564.16

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Solution

The fourth proportional to 20,996.16, 28,972.44 and 11,564.16 is: 15,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.16 : 28,972.44 = 11,564.16 : x
  2. Step 2: Convert to fraction form
    20,996.16/28,972.44 = 11,564.16/x
  3. Step 3: Cross multiply
    20,996.16x = 28,972.44 × 11,564.16
  4. Step 4: Simplify right side
    20,996.16x = 335,041,931.75
  5. Step 5: Solve for x
    x = 335,041,931.75/20,996.16
  6. Step 6: Final answer
    x = 15,957.30

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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.