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Finding the Fourth Proportional to 12,355.54, 18,511.74 and 10,288.84

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Solution

The fourth proportional to 12,355.54, 18,511.74 and 10,288.84 is: 15,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.54 : 18,511.74 = 10,288.84 : x
  2. Step 2: Convert to fraction form
    12,355.54/18,511.74 = 10,288.84/x
  3. Step 3: Cross multiply
    12,355.54x = 18,511.74 × 10,288.84
  4. Step 4: Simplify right side
    12,355.54x = 190,464,330.98
  5. Step 5: Solve for x
    x = 190,464,330.98/12,355.54
  6. Step 6: Final answer
    x = 15,415.30

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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.