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Finding the Fourth Proportional to 27,676.86, 41,510.82 and 7,950.94

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Solution

The fourth proportional to 27,676.86, 41,510.82 and 7,950.94 is: 11,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.86 : 41,510.82 = 7,950.94 : x
  2. Step 2: Convert to fraction form
    27,676.86/41,510.82 = 7,950.94/x
  3. Step 3: Cross multiply
    27,676.86x = 41,510.82 × 7,950.94
  4. Step 4: Simplify right side
    27,676.86x = 330,050,039.17
  5. Step 5: Solve for x
    x = 330,050,039.17/27,676.86
  6. Step 6: Final answer
    x = 11,925.13

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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.