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Finding the Fourth Proportional to 23,536.90, 35,097.67 and 20,270.98

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Solution

The fourth proportional to 23,536.90, 35,097.67 and 20,270.98 is: 30,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.90 : 35,097.67 = 20,270.98 : x
  2. Step 2: Convert to fraction form
    23,536.90/35,097.67 = 20,270.98/x
  3. Step 3: Cross multiply
    23,536.90x = 35,097.67 × 20,270.98
  4. Step 4: Simplify right side
    23,536.90x = 711,464,065.26
  5. Step 5: Solve for x
    x = 711,464,065.26/23,536.90
  6. Step 6: Final answer
    x = 30,227.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.