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Finding the Fourth Proportional to 23,643.70, 32,629.76 and 13,033.30

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Solution

The fourth proportional to 23,643.70, 32,629.76 and 13,033.30 is: 17,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.70 : 32,629.76 = 13,033.30 : x
  2. Step 2: Convert to fraction form
    23,643.70/32,629.76 = 13,033.30/x
  3. Step 3: Cross multiply
    23,643.70x = 32,629.76 × 13,033.30
  4. Step 4: Simplify right side
    23,643.70x = 425,273,451.01
  5. Step 5: Solve for x
    x = 425,273,451.01/23,643.70
  6. Step 6: Final answer
    x = 17,986.76

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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.