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Finding the Fourth Proportional to 15,533.86, 23,309 and 6,769.46

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Solution

The fourth proportional to 15,533.86, 23,309 and 6,769.46 is: 10,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.86 : 23,309 = 6,769.46 : x
  2. Step 2: Convert to fraction form
    15,533.86/23,309 = 6,769.46/x
  3. Step 3: Cross multiply
    15,533.86x = 23,309 × 6,769.46
  4. Step 4: Simplify right side
    15,533.86x = 157,789,343.14
  5. Step 5: Solve for x
    x = 157,789,343.14/15,533.86
  6. Step 6: Final answer
    x = 10,157.77

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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.