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Finding the Fourth Proportional to 12,769.66, 19,152.30 and 3,533.50

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Solution

The fourth proportional to 12,769.66, 19,152.30 and 3,533.50 is: 5,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.66 : 19,152.30 = 3,533.50 : x
  2. Step 2: Convert to fraction form
    12,769.66/19,152.30 = 3,533.50/x
  3. Step 3: Cross multiply
    12,769.66x = 19,152.30 × 3,533.50
  4. Step 4: Simplify right side
    12,769.66x = 67,674,652.05
  5. Step 5: Solve for x
    x = 67,674,652.05/12,769.66
  6. Step 6: Final answer
    x = 5,299.64

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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.