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Finding the Fourth Proportional to 13,086.99, 19,609.50 and 12,741.03

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Solution

The fourth proportional to 13,086.99, 19,609.50 and 12,741.03 is: 19,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.99 : 19,609.50 = 12,741.03 : x
  2. Step 2: Convert to fraction form
    13,086.99/19,609.50 = 12,741.03/x
  3. Step 3: Cross multiply
    13,086.99x = 19,609.50 × 12,741.03
  4. Step 4: Simplify right side
    13,086.99x = 249,845,227.79
  5. Step 5: Solve for x
    x = 249,845,227.79/13,086.99
  6. Step 6: Final answer
    x = 19,091.11

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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.