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Finding the Fourth Proportional to 27,315.84, 40,974.72 and 9,788.16

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Solution

The fourth proportional to 27,315.84, 40,974.72 and 9,788.16 is: 14,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,315.84 : 40,974.72 = 9,788.16 : x
  2. Step 2: Convert to fraction form
    27,315.84/40,974.72 = 9,788.16/x
  3. Step 3: Cross multiply
    27,315.84x = 40,974.72 × 9,788.16
  4. Step 4: Simplify right side
    27,315.84x = 401,067,115.32
  5. Step 5: Solve for x
    x = 401,067,115.32/27,315.84
  6. Step 6: Final answer
    x = 14,682.58

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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.