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Finding the Fourth Proportional to 17,653.13, 24,366.78 and 11,365.50

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Solution

The fourth proportional to 17,653.13, 24,366.78 and 11,365.50 is: 15,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.13 : 24,366.78 = 11,365.50 : x
  2. Step 2: Convert to fraction form
    17,653.13/24,366.78 = 11,365.50/x
  3. Step 3: Cross multiply
    17,653.13x = 24,366.78 × 11,365.50
  4. Step 4: Simplify right side
    17,653.13x = 276,940,638.09
  5. Step 5: Solve for x
    x = 276,940,638.09/17,653.13
  6. Step 6: Final answer
    x = 15,687.91

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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.