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Finding the Fourth Proportional to 27,409.09, 41,130.06 and 9,880.30

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Solution

The fourth proportional to 27,409.09, 41,130.06 and 9,880.30 is: 14,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.09 : 41,130.06 = 9,880.30 : x
  2. Step 2: Convert to fraction form
    27,409.09/41,130.06 = 9,880.30/x
  3. Step 3: Cross multiply
    27,409.09x = 41,130.06 × 9,880.30
  4. Step 4: Simplify right side
    27,409.09x = 406,377,331.82
  5. Step 5: Solve for x
    x = 406,377,331.82/27,409.09
  6. Step 6: Final answer
    x = 14,826.37

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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.