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Finding the Fourth Proportional to 11,643.89, 17,474.29 and 8,730.05

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Solution

The fourth proportional to 11,643.89, 17,474.29 and 8,730.05 is: 13,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.89 : 17,474.29 = 8,730.05 : x
  2. Step 2: Convert to fraction form
    11,643.89/17,474.29 = 8,730.05/x
  3. Step 3: Cross multiply
    11,643.89x = 17,474.29 × 8,730.05
  4. Step 4: Simplify right side
    11,643.89x = 152,551,316.22
  5. Step 5: Solve for x
    x = 152,551,316.22/11,643.89
  6. Step 6: Final answer
    x = 13,101.41

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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.