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Finding the Fourth Proportional to 23,756.32, 35,634.90 and 8,972.20

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Solution

The fourth proportional to 23,756.32, 35,634.90 and 8,972.20 is: 13,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756.32 : 35,634.90 = 8,972.20 : x
  2. Step 2: Convert to fraction form
    23,756.32/35,634.90 = 8,972.20/x
  3. Step 3: Cross multiply
    23,756.32x = 35,634.90 × 8,972.20
  4. Step 4: Simplify right side
    23,756.32x = 319,723,449.78
  5. Step 5: Solve for x
    x = 319,723,449.78/23,756.32
  6. Step 6: Final answer
    x = 13,458.46

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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.