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Finding the Fourth Proportional to 15,634.56, 23,454.24 and 6,274.56

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Solution

The fourth proportional to 15,634.56, 23,454.24 and 6,274.56 is: 9,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.56 : 23,454.24 = 6,274.56 : x
  2. Step 2: Convert to fraction form
    15,634.56/23,454.24 = 6,274.56/x
  3. Step 3: Cross multiply
    15,634.56x = 23,454.24 × 6,274.56
  4. Step 4: Simplify right side
    15,634.56x = 147,165,036.13
  5. Step 5: Solve for x
    x = 147,165,036.13/15,634.56
  6. Step 6: Final answer
    x = 9,412.80

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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.