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Finding the Fourth Proportional to 13,417.80, 20,126.70 and 9,745.80

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Solution

The fourth proportional to 13,417.80, 20,126.70 and 9,745.80 is: 14,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.80 : 20,126.70 = 9,745.80 : x
  2. Step 2: Convert to fraction form
    13,417.80/20,126.70 = 9,745.80/x
  3. Step 3: Cross multiply
    13,417.80x = 20,126.70 × 9,745.80
  4. Step 4: Simplify right side
    13,417.80x = 196,150,792.86
  5. Step 5: Solve for x
    x = 196,150,792.86/13,417.80
  6. Step 6: Final answer
    x = 14,618.70

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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.