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Finding the Fourth Proportional to 25,605.96, 38,382.54 and 9,806.68

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Solution

The fourth proportional to 25,605.96, 38,382.54 and 9,806.68 is: 14,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.96 : 38,382.54 = 9,806.68 : x
  2. Step 2: Convert to fraction form
    25,605.96/38,382.54 = 9,806.68/x
  3. Step 3: Cross multiply
    25,605.96x = 38,382.54 × 9,806.68
  4. Step 4: Simplify right side
    25,605.96x = 376,405,287.37
  5. Step 5: Solve for x
    x = 376,405,287.37/25,605.96
  6. Step 6: Final answer
    x = 14,699.91

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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.