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Finding the Fourth Proportional to 26,506.72, 39,750.33 and 7,781.95

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Solution

The fourth proportional to 26,506.72, 39,750.33 and 7,781.95 is: 11,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.72 : 39,750.33 = 7,781.95 : x
  2. Step 2: Convert to fraction form
    26,506.72/39,750.33 = 7,781.95/x
  3. Step 3: Cross multiply
    26,506.72x = 39,750.33 × 7,781.95
  4. Step 4: Simplify right side
    26,506.72x = 309,335,080.54
  5. Step 5: Solve for x
    x = 309,335,080.54/26,506.72
  6. Step 6: Final answer
    x = 11,670.06

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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.