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Finding the Fourth Proportional to 16,739.95, 23,100.09 and 9,184.75

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Solution

The fourth proportional to 16,739.95, 23,100.09 and 9,184.75 is: 12,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,739.95 : 23,100.09 = 9,184.75 : x
  2. Step 2: Convert to fraction form
    16,739.95/23,100.09 = 9,184.75/x
  3. Step 3: Cross multiply
    16,739.95x = 23,100.09 × 9,184.75
  4. Step 4: Simplify right side
    16,739.95x = 212,168,551.63
  5. Step 5: Solve for x
    x = 212,168,551.63/16,739.95
  6. Step 6: Final answer
    x = 12,674.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.