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Finding the Fourth Proportional to 13,411.15, 20,110.23 and 7,866.31

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Solution

The fourth proportional to 13,411.15, 20,110.23 and 7,866.31 is: 11,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.15 : 20,110.23 = 7,866.31 : x
  2. Step 2: Convert to fraction form
    13,411.15/20,110.23 = 7,866.31/x
  3. Step 3: Cross multiply
    13,411.15x = 20,110.23 × 7,866.31
  4. Step 4: Simplify right side
    13,411.15x = 158,193,303.35
  5. Step 5: Solve for x
    x = 158,193,303.35/13,411.15
  6. Step 6: Final answer
    x = 11,795.66

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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.