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Finding the Fourth Proportional to 13,185.25, 19,782.74 and 6,945.01

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Solution

The fourth proportional to 13,185.25, 19,782.74 and 6,945.01 is: 10,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.25 : 19,782.74 = 6,945.01 : x
  2. Step 2: Convert to fraction form
    13,185.25/19,782.74 = 6,945.01/x
  3. Step 3: Cross multiply
    13,185.25x = 19,782.74 × 6,945.01
  4. Step 4: Simplify right side
    13,185.25x = 137,391,327.13
  5. Step 5: Solve for x
    x = 137,391,327.13/13,185.25
  6. Step 6: Final answer
    x = 10,420.08

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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.