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Finding the Fourth Proportional to 15,635.77, 21,580.71 and 9,969.21

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Solution

The fourth proportional to 15,635.77, 21,580.71 and 9,969.21 is: 13,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.77 : 21,580.71 = 9,969.21 : x
  2. Step 2: Convert to fraction form
    15,635.77/21,580.71 = 9,969.21/x
  3. Step 3: Cross multiply
    15,635.77x = 21,580.71 × 9,969.21
  4. Step 4: Simplify right side
    15,635.77x = 215,142,629.94
  5. Step 5: Solve for x
    x = 215,142,629.94/15,635.77
  6. Step 6: Final answer
    x = 13,759.65

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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.