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Finding the Fourth Proportional to 20,933.16, 28,899 and 16,142.64

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Solution

The fourth proportional to 20,933.16, 28,899 and 16,142.64 is: 22,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,933.16 : 28,899 = 16,142.64 : x
  2. Step 2: Convert to fraction form
    20,933.16/28,899 = 16,142.64/x
  3. Step 3: Cross multiply
    20,933.16x = 28,899 × 16,142.64
  4. Step 4: Simplify right side
    20,933.16x = 466,506,153.36
  5. Step 5: Solve for x
    x = 466,506,153.36/20,933.16
  6. Step 6: Final answer
    x = 22,285.51

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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.