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Finding the Fourth Proportional to 27,317.72, 40,974.73 and 9,788.11

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Solution

The fourth proportional to 27,317.72, 40,974.73 and 9,788.11 is: 14,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317.72 : 40,974.73 = 9,788.11 : x
  2. Step 2: Convert to fraction form
    27,317.72/40,974.73 = 9,788.11/x
  3. Step 3: Cross multiply
    27,317.72x = 40,974.73 × 9,788.11
  4. Step 4: Simplify right side
    27,317.72x = 401,065,037.55
  5. Step 5: Solve for x
    x = 401,065,037.55/27,317.72
  6. Step 6: Final answer
    x = 14,681.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.