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Finding the Fourth Proportional to 19,861.89, 27,409.49 and 10,909.16

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Solution

The fourth proportional to 19,861.89, 27,409.49 and 10,909.16 is: 15,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.89 : 27,409.49 = 10,909.16 : x
  2. Step 2: Convert to fraction form
    19,861.89/27,409.49 = 10,909.16/x
  3. Step 3: Cross multiply
    19,861.89x = 27,409.49 × 10,909.16
  4. Step 4: Simplify right side
    19,861.89x = 299,014,511.93
  5. Step 5: Solve for x
    x = 299,014,511.93/19,861.89
  6. Step 6: Final answer
    x = 15,054.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.