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Finding the Fourth Proportional to 12,405.50, 17,119.59 and 6,816.50

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Solution

The fourth proportional to 12,405.50, 17,119.59 and 6,816.50 is: 9,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.50 : 17,119.59 = 6,816.50 : x
  2. Step 2: Convert to fraction form
    12,405.50/17,119.59 = 6,816.50/x
  3. Step 3: Cross multiply
    12,405.50x = 17,119.59 × 6,816.50
  4. Step 4: Simplify right side
    12,405.50x = 116,695,685.24
  5. Step 5: Solve for x
    x = 116,695,685.24/12,405.50
  6. Step 6: Final answer
    x = 9,406.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.