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Finding the Fourth Proportional to 23,733.98, 35,600.98 and 8,946.22

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Solution

The fourth proportional to 23,733.98, 35,600.98 and 8,946.22 is: 13,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733.98 : 35,600.98 = 8,946.22 : x
  2. Step 2: Convert to fraction form
    23,733.98/35,600.98 = 8,946.22/x
  3. Step 3: Cross multiply
    23,733.98x = 35,600.98 × 8,946.22
  4. Step 4: Simplify right side
    23,733.98x = 318,494,199.30
  5. Step 5: Solve for x
    x = 318,494,199.30/23,733.98
  6. Step 6: Final answer
    x = 13,419.33

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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.