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Finding the Fourth Proportional to 26,509.82, 39,763.80 and 6,788.54

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Solution

The fourth proportional to 26,509.82, 39,763.80 and 6,788.54 is: 10,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.82 : 39,763.80 = 6,788.54 : x
  2. Step 2: Convert to fraction form
    26,509.82/39,763.80 = 6,788.54/x
  3. Step 3: Cross multiply
    26,509.82x = 39,763.80 × 6,788.54
  4. Step 4: Simplify right side
    26,509.82x = 269,937,948.03
  5. Step 5: Solve for x
    x = 269,937,948.03/26,509.82
  6. Step 6: Final answer
    x = 10,182.57

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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.