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Finding the Fourth Proportional to 16,811.61, 23,200.09 and 10,097.35

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Solution

The fourth proportional to 16,811.61, 23,200.09 and 10,097.35 is: 13,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.61 : 23,200.09 = 10,097.35 : x
  2. Step 2: Convert to fraction form
    16,811.61/23,200.09 = 10,097.35/x
  3. Step 3: Cross multiply
    16,811.61x = 23,200.09 × 10,097.35
  4. Step 4: Simplify right side
    16,811.61x = 234,259,410.77
  5. Step 5: Solve for x
    x = 234,259,410.77/16,811.61
  6. Step 6: Final answer
    x = 13,934.38

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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.