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Finding the Fourth Proportional to 16,069.20, 21,316.74 and 16,069.20

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Solution

The fourth proportional to 16,069.20, 21,316.74 and 16,069.20 is: 21,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.20 : 21,316.74 = 16,069.20 : x
  2. Step 2: Convert to fraction form
    16,069.20/21,316.74 = 16,069.20/x
  3. Step 3: Cross multiply
    16,069.20x = 21,316.74 × 16,069.20
  4. Step 4: Simplify right side
    16,069.20x = 342,542,958.41
  5. Step 5: Solve for x
    x = 342,542,958.41/16,069.20
  6. Step 6: Final answer
    x = 21,316.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.