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Finding the Fourth Proportional to 16,308.50, 24,463.38 and 5,065.01

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Solution

The fourth proportional to 16,308.50, 24,463.38 and 5,065.01 is: 7,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.50 : 24,463.38 = 5,065.01 : x
  2. Step 2: Convert to fraction form
    16,308.50/24,463.38 = 5,065.01/x
  3. Step 3: Cross multiply
    16,308.50x = 24,463.38 × 5,065.01
  4. Step 4: Simplify right side
    16,308.50x = 123,907,252.75
  5. Step 5: Solve for x
    x = 123,907,252.75/16,308.50
  6. Step 6: Final answer
    x = 7,597.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.