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Finding the Fourth Proportional to 13,813.74, 19,074.21 and 11,261.91

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Solution

The fourth proportional to 13,813.74, 19,074.21 and 11,261.91 is: 15,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.74 : 19,074.21 = 11,261.91 : x
  2. Step 2: Convert to fraction form
    13,813.74/19,074.21 = 11,261.91/x
  3. Step 3: Cross multiply
    13,813.74x = 19,074.21 × 11,261.91
  4. Step 4: Simplify right side
    13,813.74x = 214,812,036.34
  5. Step 5: Solve for x
    x = 214,812,036.34/13,813.74
  6. Step 6: Final answer
    x = 15,550.61

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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.