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Finding the Fourth Proportional to 16,697, 25,023.96 and 12,504.08

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Solution

The fourth proportional to 16,697, 25,023.96 and 12,504.08 is: 18,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697 : 25,023.96 = 12,504.08 : x
  2. Step 2: Convert to fraction form
    16,697/25,023.96 = 12,504.08/x
  3. Step 3: Cross multiply
    16,697x = 25,023.96 × 12,504.08
  4. Step 4: Simplify right side
    16,697x = 312,901,597.76
  5. Step 5: Solve for x
    x = 312,901,597.76/16,697
  6. Step 6: Final answer
    x = 18,739.99

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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.