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Finding the Fourth Proportional to 17,245, 25,849.08 and 9,833.48

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Solution

The fourth proportional to 17,245, 25,849.08 and 9,833.48 is: 14,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,245 : 25,849.08 = 9,833.48 : x
  2. Step 2: Convert to fraction form
    17,245/25,849.08 = 9,833.48/x
  3. Step 3: Cross multiply
    17,245x = 25,849.08 × 9,833.48
  4. Step 4: Simplify right side
    17,245x = 254,186,411.20
  5. Step 5: Solve for x
    x = 254,186,411.20/17,245
  6. Step 6: Final answer
    x = 14,739.72

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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.