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Finding the Fourth Proportional to 24,449, 33,739.66 and 13,271

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Solution

The fourth proportional to 24,449, 33,739.66 and 13,271 is: 18,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449 : 33,739.66 = 13,271 : x
  2. Step 2: Convert to fraction form
    24,449/33,739.66 = 13,271/x
  3. Step 3: Cross multiply
    24,449x = 33,739.66 × 13,271
  4. Step 4: Simplify right side
    24,449x = 447,759,027.86
  5. Step 5: Solve for x
    x = 447,759,027.86/24,449
  6. Step 6: Final answer
    x = 18,314.00

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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.