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Finding the Fourth Proportional to 15,891.20, 23,824.34 and 10,035.50

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Solution

The fourth proportional to 15,891.20, 23,824.34 and 10,035.50 is: 15,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.20 : 23,824.34 = 10,035.50 : x
  2. Step 2: Convert to fraction form
    15,891.20/23,824.34 = 10,035.50/x
  3. Step 3: Cross multiply
    15,891.20x = 23,824.34 × 10,035.50
  4. Step 4: Simplify right side
    15,891.20x = 239,089,164.07
  5. Step 5: Solve for x
    x = 239,089,164.07/15,891.20
  6. Step 6: Final answer
    x = 15,045.38

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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.