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Finding the Fourth Proportional to 16,908, 25,360.77 and 7,548.86

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Solution

The fourth proportional to 16,908, 25,360.77 and 7,548.86 is: 11,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,908 : 25,360.77 = 7,548.86 : x
  2. Step 2: Convert to fraction form
    16,908/25,360.77 = 7,548.86/x
  3. Step 3: Cross multiply
    16,908x = 25,360.77 × 7,548.86
  4. Step 4: Simplify right side
    16,908x = 191,444,775.42
  5. Step 5: Solve for x
    x = 191,444,775.42/16,908
  6. Step 6: Final answer
    x = 11,322.73

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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.