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Finding the Fourth Proportional to 26,619.04, 39,928.74 and 11,824

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Solution

The fourth proportional to 26,619.04, 39,928.74 and 11,824 is: 17,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,619.04 : 39,928.74 = 11,824 : x
  2. Step 2: Convert to fraction form
    26,619.04/39,928.74 = 11,824/x
  3. Step 3: Cross multiply
    26,619.04x = 39,928.74 × 11,824
  4. Step 4: Simplify right side
    26,619.04x = 472,117,421.76
  5. Step 5: Solve for x
    x = 472,117,421.76/26,619.04
  6. Step 6: Final answer
    x = 17,736.08

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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.