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Finding the Fourth Proportional to 15,391.50, 23,087.28 and 6,157.50

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Solution

The fourth proportional to 15,391.50, 23,087.28 and 6,157.50 is: 9,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,391.50 : 23,087.28 = 6,157.50 : x
  2. Step 2: Convert to fraction form
    15,391.50/23,087.28 = 6,157.50/x
  3. Step 3: Cross multiply
    15,391.50x = 23,087.28 × 6,157.50
  4. Step 4: Simplify right side
    15,391.50x = 142,159,926.60
  5. Step 5: Solve for x
    x = 142,159,926.60/15,391.50
  6. Step 6: Final answer
    x = 9,236.26

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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.