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Finding the Fourth Proportional to 13,805.33, 19,051.99 and 8,140.32

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Solution

The fourth proportional to 13,805.33, 19,051.99 and 8,140.32 is: 11,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.33 : 19,051.99 = 8,140.32 : x
  2. Step 2: Convert to fraction form
    13,805.33/19,051.99 = 8,140.32/x
  3. Step 3: Cross multiply
    13,805.33x = 19,051.99 × 8,140.32
  4. Step 4: Simplify right side
    13,805.33x = 155,089,274.89
  5. Step 5: Solve for x
    x = 155,089,274.89/13,805.33
  6. Step 6: Final answer
    x = 11,234.02

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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.