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Finding the Fourth Proportional to 23,841.95, 35,763.17 and 7,202.12

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Solution

The fourth proportional to 23,841.95, 35,763.17 and 7,202.12 is: 10,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.95 : 35,763.17 = 7,202.12 : x
  2. Step 2: Convert to fraction form
    23,841.95/35,763.17 = 7,202.12/x
  3. Step 3: Cross multiply
    23,841.95x = 35,763.17 × 7,202.12
  4. Step 4: Simplify right side
    23,841.95x = 257,570,427.09
  5. Step 5: Solve for x
    x = 257,570,427.09/23,841.95
  6. Step 6: Final answer
    x = 10,803.25

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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.