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Finding the Fourth Proportional to 13,620.98, 20,403.12 and 13,151

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Solution

The fourth proportional to 13,620.98, 20,403.12 and 13,151 is: 19,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.98 : 20,403.12 = 13,151 : x
  2. Step 2: Convert to fraction form
    13,620.98/20,403.12 = 13,151/x
  3. Step 3: Cross multiply
    13,620.98x = 20,403.12 × 13,151
  4. Step 4: Simplify right side
    13,620.98x = 268,321,431.12
  5. Step 5: Solve for x
    x = 268,321,431.12/13,620.98
  6. Step 6: Final answer
    x = 19,699.13

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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.