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Finding the Fourth Proportional to 23,536.54, 35,303.73 and 7,954.30

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Solution

The fourth proportional to 23,536.54, 35,303.73 and 7,954.30 is: 11,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.54 : 35,303.73 = 7,954.30 : x
  2. Step 2: Convert to fraction form
    23,536.54/35,303.73 = 7,954.30/x
  3. Step 3: Cross multiply
    23,536.54x = 35,303.73 × 7,954.30
  4. Step 4: Simplify right side
    23,536.54x = 280,816,459.54
  5. Step 5: Solve for x
    x = 280,816,459.54/23,536.54
  6. Step 6: Final answer
    x = 11,931.09

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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.