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Finding the Fourth Proportional to 13,699.89, 20,549.66 and 7,852.32

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Solution

The fourth proportional to 13,699.89, 20,549.66 and 7,852.32 is: 11,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.89 : 20,549.66 = 7,852.32 : x
  2. Step 2: Convert to fraction form
    13,699.89/20,549.66 = 7,852.32/x
  3. Step 3: Cross multiply
    13,699.89x = 20,549.66 × 7,852.32
  4. Step 4: Simplify right side
    13,699.89x = 161,362,466.95
  5. Step 5: Solve for x
    x = 161,362,466.95/13,699.89
  6. Step 6: Final answer
    x = 11,778.38

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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.