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Finding the Fourth Proportional to 13,280.64, 19,866.24 and 11,800.80

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Solution

The fourth proportional to 13,280.64, 19,866.24 and 11,800.80 is: 17,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.64 : 19,866.24 = 11,800.80 : x
  2. Step 2: Convert to fraction form
    13,280.64/19,866.24 = 11,800.80/x
  3. Step 3: Cross multiply
    13,280.64x = 19,866.24 × 11,800.80
  4. Step 4: Simplify right side
    13,280.64x = 234,437,524.99
  5. Step 5: Solve for x
    x = 234,437,524.99/13,280.64
  6. Step 6: Final answer
    x = 17,652.58

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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.