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Finding the Fourth Proportional to 16,175.84, 24,228.68 and 7,838.37

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Solution

The fourth proportional to 16,175.84, 24,228.68 and 7,838.37 is: 11,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.84 : 24,228.68 = 7,838.37 : x
  2. Step 2: Convert to fraction form
    16,175.84/24,228.68 = 7,838.37/x
  3. Step 3: Cross multiply
    16,175.84x = 24,228.68 × 7,838.37
  4. Step 4: Simplify right side
    16,175.84x = 189,913,319.26
  5. Step 5: Solve for x
    x = 189,913,319.26/16,175.84
  6. Step 6: Final answer
    x = 11,740.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.