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Finding the Fourth Proportional to 26,382.48, 39,582 and 11,603.82

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Solution

The fourth proportional to 26,382.48, 39,582 and 11,603.82 is: 17,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.48 : 39,582 = 11,603.82 : x
  2. Step 2: Convert to fraction form
    26,382.48/39,582 = 11,603.82/x
  3. Step 3: Cross multiply
    26,382.48x = 39,582 × 11,603.82
  4. Step 4: Simplify right side
    26,382.48x = 459,302,403.24
  5. Step 5: Solve for x
    x = 459,302,403.24/26,382.48
  6. Step 6: Final answer
    x = 17,409.37

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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.