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Finding the Fourth Proportional to 27,317.84, 40,950.84 and 9,778.64

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Solution

The fourth proportional to 27,317.84, 40,950.84 and 9,778.64 is: 14,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317.84 : 40,950.84 = 9,778.64 : x
  2. Step 2: Convert to fraction form
    27,317.84/40,950.84 = 9,778.64/x
  3. Step 3: Cross multiply
    27,317.84x = 40,950.84 × 9,778.64
  4. Step 4: Simplify right side
    27,317.84x = 400,443,522.06
  5. Step 5: Solve for x
    x = 400,443,522.06/27,317.84
  6. Step 6: Final answer
    x = 14,658.68

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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.