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Finding the Fourth Proportional to 16,011.42, 23,969.82 and 11,823.62

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Solution

The fourth proportional to 16,011.42, 23,969.82 and 11,823.62 is: 17,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.42 : 23,969.82 = 11,823.62 : x
  2. Step 2: Convert to fraction form
    16,011.42/23,969.82 = 11,823.62/x
  3. Step 3: Cross multiply
    16,011.42x = 23,969.82 × 11,823.62
  4. Step 4: Simplify right side
    16,011.42x = 283,410,102.47
  5. Step 5: Solve for x
    x = 283,410,102.47/16,011.42
  6. Step 6: Final answer
    x = 17,700.50

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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.