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Finding the Fourth Proportional to 13,598.92, 20,400.36 and 12,851.96

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Solution

The fourth proportional to 13,598.92, 20,400.36 and 12,851.96 is: 19,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.92 : 20,400.36 = 12,851.96 : x
  2. Step 2: Convert to fraction form
    13,598.92/20,400.36 = 12,851.96/x
  3. Step 3: Cross multiply
    13,598.92x = 20,400.36 × 12,851.96
  4. Step 4: Simplify right side
    13,598.92x = 262,184,610.71
  5. Step 5: Solve for x
    x = 262,184,610.71/13,598.92
  6. Step 6: Final answer
    x = 19,279.81

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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.