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Finding the Fourth Proportional to 16,012.80, 23,987.36 and 12,533.76

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Solution

The fourth proportional to 16,012.80, 23,987.36 and 12,533.76 is: 18,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.80 : 23,987.36 = 12,533.76 : x
  2. Step 2: Convert to fraction form
    16,012.80/23,987.36 = 12,533.76/x
  3. Step 3: Cross multiply
    16,012.80x = 23,987.36 × 12,533.76
  4. Step 4: Simplify right side
    16,012.80x = 300,651,813.27
  5. Step 5: Solve for x
    x = 300,651,813.27/16,012.80
  6. Step 6: Final answer
    x = 18,775.72

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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.