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Finding the Fourth Proportional to 27,506.64, 41,260.08 and 9,969.60

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Solution

The fourth proportional to 27,506.64, 41,260.08 and 9,969.60 is: 14,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.64 : 41,260.08 = 9,969.60 : x
  2. Step 2: Convert to fraction form
    27,506.64/41,260.08 = 9,969.60/x
  3. Step 3: Cross multiply
    27,506.64x = 41,260.08 × 9,969.60
  4. Step 4: Simplify right side
    27,506.64x = 411,346,493.57
  5. Step 5: Solve for x
    x = 411,346,493.57/27,506.64
  6. Step 6: Final answer
    x = 14,954.44

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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.