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Finding the Fourth Proportional to 15,643.87, 21,571.25 and 9,969.63

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Solution

The fourth proportional to 15,643.87, 21,571.25 and 9,969.63 is: 13,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.87 : 21,571.25 = 9,969.63 : x
  2. Step 2: Convert to fraction form
    15,643.87/21,571.25 = 9,969.63/x
  3. Step 3: Cross multiply
    15,643.87x = 21,571.25 × 9,969.63
  4. Step 4: Simplify right side
    15,643.87x = 215,057,381.14
  5. Step 5: Solve for x
    x = 215,057,381.14/15,643.87
  6. Step 6: Final answer
    x = 13,747.07

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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.