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Finding the Fourth Proportional to 15,633.74, 21,568.21 and 9,255.60

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Solution

The fourth proportional to 15,633.74, 21,568.21 and 9,255.60 is: 12,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.74 : 21,568.21 = 9,255.60 : x
  2. Step 2: Convert to fraction form
    15,633.74/21,568.21 = 9,255.60/x
  3. Step 3: Cross multiply
    15,633.74x = 21,568.21 × 9,255.60
  4. Step 4: Simplify right side
    15,633.74x = 199,626,701.34
  5. Step 5: Solve for x
    x = 199,626,701.34/15,633.74
  6. Step 6: Final answer
    x = 12,768.96

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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.