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Finding the Fourth Proportional to 15,745.20, 23,617.80 and 13,801.20

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Solution

The fourth proportional to 15,745.20, 23,617.80 and 13,801.20 is: 20,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.20 : 23,617.80 = 13,801.20 : x
  2. Step 2: Convert to fraction form
    15,745.20/23,617.80 = 13,801.20/x
  3. Step 3: Cross multiply
    15,745.20x = 23,617.80 × 13,801.20
  4. Step 4: Simplify right side
    15,745.20x = 325,953,981.36
  5. Step 5: Solve for x
    x = 325,953,981.36/15,745.20
  6. Step 6: Final answer
    x = 20,701.80

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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.