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Finding the Fourth Proportional to 15,957.72, 23,933.50 and 6,094.67

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Solution

The fourth proportional to 15,957.72, 23,933.50 and 6,094.67 is: 9,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.72 : 23,933.50 = 6,094.67 : x
  2. Step 2: Convert to fraction form
    15,957.72/23,933.50 = 6,094.67/x
  3. Step 3: Cross multiply
    15,957.72x = 23,933.50 × 6,094.67
  4. Step 4: Simplify right side
    15,957.72x = 145,866,649.54
  5. Step 5: Solve for x
    x = 145,866,649.54/15,957.72
  6. Step 6: Final answer
    x = 9,140.82

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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.