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Finding the Fourth Proportional to 16,507.01, 24,751.80 and 5,412.30

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Solution

The fourth proportional to 16,507.01, 24,751.80 and 5,412.30 is: 8,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.01 : 24,751.80 = 5,412.30 : x
  2. Step 2: Convert to fraction form
    16,507.01/24,751.80 = 5,412.30/x
  3. Step 3: Cross multiply
    16,507.01x = 24,751.80 × 5,412.30
  4. Step 4: Simplify right side
    16,507.01x = 133,964,167.14
  5. Step 5: Solve for x
    x = 133,964,167.14/16,507.01
  6. Step 6: Final answer
    x = 8,115.59

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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.