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Finding the Fourth Proportional to 14,696.36, 20,269.24 and 9,665.74

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Solution

The fourth proportional to 14,696.36, 20,269.24 and 9,665.74 is: 13,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.36 : 20,269.24 = 9,665.74 : x
  2. Step 2: Convert to fraction form
    14,696.36/20,269.24 = 9,665.74/x
  3. Step 3: Cross multiply
    14,696.36x = 20,269.24 × 9,665.74
  4. Step 4: Simplify right side
    14,696.36x = 195,917,129.00
  5. Step 5: Solve for x
    x = 195,917,129.00/14,696.36
  6. Step 6: Final answer
    x = 13,331.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.