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Finding the Fourth Proportional to 15,754.41, 23,638.57 and 8,357.06

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Solution

The fourth proportional to 15,754.41, 23,638.57 and 8,357.06 is: 12,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.41 : 23,638.57 = 8,357.06 : x
  2. Step 2: Convert to fraction form
    15,754.41/23,638.57 = 8,357.06/x
  3. Step 3: Cross multiply
    15,754.41x = 23,638.57 × 8,357.06
  4. Step 4: Simplify right side
    15,754.41x = 197,548,928.70
  5. Step 5: Solve for x
    x = 197,548,928.70/15,754.41
  6. Step 6: Final answer
    x = 12,539.28

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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.