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Finding the Fourth Proportional to 27,495.77, 41,243.63 and 9,965.57

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Solution

The fourth proportional to 27,495.77, 41,243.63 and 9,965.57 is: 14,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,495.77 : 41,243.63 = 9,965.57 : x
  2. Step 2: Convert to fraction form
    27,495.77/41,243.63 = 9,965.57/x
  3. Step 3: Cross multiply
    27,495.77x = 41,243.63 × 9,965.57
  4. Step 4: Simplify right side
    27,495.77x = 411,016,100.51
  5. Step 5: Solve for x
    x = 411,016,100.51/27,495.77
  6. Step 6: Final answer
    x = 14,948.34

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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.