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Finding the Fourth Proportional to 15,194.56, 22,788.94 and 6,435.63

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Solution

The fourth proportional to 15,194.56, 22,788.94 and 6,435.63 is: 9,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.56 : 22,788.94 = 6,435.63 : x
  2. Step 2: Convert to fraction form
    15,194.56/22,788.94 = 6,435.63/x
  3. Step 3: Cross multiply
    15,194.56x = 22,788.94 × 6,435.63
  4. Step 4: Simplify right side
    15,194.56x = 146,661,185.93
  5. Step 5: Solve for x
    x = 146,661,185.93/15,194.56
  6. Step 6: Final answer
    x = 9,652.22

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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.