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Finding the Fourth Proportional to 15,533.70, 23,284.14 and 11,148.78

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Solution

The fourth proportional to 15,533.70, 23,284.14 and 11,148.78 is: 16,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.70 : 23,284.14 = 11,148.78 : x
  2. Step 2: Convert to fraction form
    15,533.70/23,284.14 = 11,148.78/x
  3. Step 3: Cross multiply
    15,533.70x = 23,284.14 × 11,148.78
  4. Step 4: Simplify right side
    15,533.70x = 259,589,754.35
  5. Step 5: Solve for x
    x = 259,589,754.35/15,533.70
  6. Step 6: Final answer
    x = 16,711.39

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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.