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Finding the Fourth Proportional to 12,409.50, 17,118.18 and 7,626.13

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Solution

The fourth proportional to 12,409.50, 17,118.18 and 7,626.13 is: 10,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.50 : 17,118.18 = 7,626.13 : x
  2. Step 2: Convert to fraction form
    12,409.50/17,118.18 = 7,626.13/x
  3. Step 3: Cross multiply
    12,409.50x = 17,118.18 × 7,626.13
  4. Step 4: Simplify right side
    12,409.50x = 130,545,466.04
  5. Step 5: Solve for x
    x = 130,545,466.04/12,409.50
  6. Step 6: Final answer
    x = 10,519.80

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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.