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Finding the Fourth Proportional to 15,842.19, 23,768.56 and 5,313.25

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Solution

The fourth proportional to 15,842.19, 23,768.56 and 5,313.25 is: 7,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.19 : 23,768.56 = 5,313.25 : x
  2. Step 2: Convert to fraction form
    15,842.19/23,768.56 = 5,313.25/x
  3. Step 3: Cross multiply
    15,842.19x = 23,768.56 × 5,313.25
  4. Step 4: Simplify right side
    15,842.19x = 126,288,274.85
  5. Step 5: Solve for x
    x = 126,288,274.85/15,842.19
  6. Step 6: Final answer
    x = 7,971.64

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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.