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Finding the Fourth Proportional to 13,197.96, 19,803.42 and 5,409

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Solution

The fourth proportional to 13,197.96, 19,803.42 and 5,409 is: 8,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.96 : 19,803.42 = 5,409 : x
  2. Step 2: Convert to fraction form
    13,197.96/19,803.42 = 5,409/x
  3. Step 3: Cross multiply
    13,197.96x = 19,803.42 × 5,409
  4. Step 4: Simplify right side
    13,197.96x = 107,116,698.78
  5. Step 5: Solve for x
    x = 107,116,698.78/13,197.96
  6. Step 6: Final answer
    x = 8,116.16

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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.