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Finding the Fourth Proportional to 19,861.50, 27,409.59 and 11,365.14

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Solution

The fourth proportional to 19,861.50, 27,409.59 and 11,365.14 is: 15,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.50 : 27,409.59 = 11,365.14 : x
  2. Step 2: Convert to fraction form
    19,861.50/27,409.59 = 11,365.14/x
  3. Step 3: Cross multiply
    19,861.50x = 27,409.59 × 11,365.14
  4. Step 4: Simplify right side
    19,861.50x = 311,513,827.69
  5. Step 5: Solve for x
    x = 311,513,827.69/19,861.50
  6. Step 6: Final answer
    x = 15,684.31

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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.