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Finding the Fourth Proportional to 13,208.34, 19,818.96 and 5,811.87

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Solution

The fourth proportional to 13,208.34, 19,818.96 and 5,811.87 is: 8,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.34 : 19,818.96 = 5,811.87 : x
  2. Step 2: Convert to fraction form
    13,208.34/19,818.96 = 5,811.87/x
  3. Step 3: Cross multiply
    13,208.34x = 19,818.96 × 5,811.87
  4. Step 4: Simplify right side
    13,208.34x = 115,185,219.06
  5. Step 5: Solve for x
    x = 115,185,219.06/13,208.34
  6. Step 6: Final answer
    x = 8,720.64

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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.