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Finding the Fourth Proportional to 15,705.88, 23,559.97 and 5,845.16

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Solution

The fourth proportional to 15,705.88, 23,559.97 and 5,845.16 is: 8,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.88 : 23,559.97 = 5,845.16 : x
  2. Step 2: Convert to fraction form
    15,705.88/23,559.97 = 5,845.16/x
  3. Step 3: Cross multiply
    15,705.88x = 23,559.97 × 5,845.16
  4. Step 4: Simplify right side
    15,705.88x = 137,711,647.22
  5. Step 5: Solve for x
    x = 137,711,647.22/15,705.88
  6. Step 6: Final answer
    x = 8,768.16

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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.