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Finding the Fourth Proportional to 15,728.16, 23,597.28 and 7,825.44

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Solution

The fourth proportional to 15,728.16, 23,597.28 and 7,825.44 is: 11,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.16 : 23,597.28 = 7,825.44 : x
  2. Step 2: Convert to fraction form
    15,728.16/23,597.28 = 7,825.44/x
  3. Step 3: Cross multiply
    15,728.16x = 23,597.28 × 7,825.44
  4. Step 4: Simplify right side
    15,728.16x = 184,659,098.80
  5. Step 5: Solve for x
    x = 184,659,098.80/15,728.16
  6. Step 6: Final answer
    x = 11,740.67

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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.