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Finding the Fourth Proportional to 23,908.77, 32,994 and 13,298.38

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Solution

The fourth proportional to 23,908.77, 32,994 and 13,298.38 is: 18,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.77 : 32,994 = 13,298.38 : x
  2. Step 2: Convert to fraction form
    23,908.77/32,994 = 13,298.38/x
  3. Step 3: Cross multiply
    23,908.77x = 32,994 × 13,298.38
  4. Step 4: Simplify right side
    23,908.77x = 438,766,667.24
  5. Step 5: Solve for x
    x = 438,766,667.24/23,908.77
  6. Step 6: Final answer
    x = 18,351.70

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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.