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Finding the Fourth Proportional to 16,813.88, 23,209.48 and 13,219.48

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Solution

The fourth proportional to 16,813.88, 23,209.48 and 13,219.48 is: 18,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.88 : 23,209.48 = 13,219.48 : x
  2. Step 2: Convert to fraction form
    16,813.88/23,209.48 = 13,219.48/x
  3. Step 3: Cross multiply
    16,813.88x = 23,209.48 × 13,219.48
  4. Step 4: Simplify right side
    16,813.88x = 306,817,256.67
  5. Step 5: Solve for x
    x = 306,817,256.67/16,813.88
  6. Step 6: Final answer
    x = 18,247.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.