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Finding the Fourth Proportional to 12,769.34, 19,154.02 and 3,409.38

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Solution

The fourth proportional to 12,769.34, 19,154.02 and 3,409.38 is: 5,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.34 : 19,154.02 = 3,409.38 : x
  2. Step 2: Convert to fraction form
    12,769.34/19,154.02 = 3,409.38/x
  3. Step 3: Cross multiply
    12,769.34x = 19,154.02 × 3,409.38
  4. Step 4: Simplify right side
    12,769.34x = 65,303,332.71
  5. Step 5: Solve for x
    x = 65,303,332.71/12,769.34
  6. Step 6: Final answer
    x = 5,114.07

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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.