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Finding the Fourth Proportional to 25,605.41, 38,382.12 and 9,806.42

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Solution

The fourth proportional to 25,605.41, 38,382.12 and 9,806.42 is: 14,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.41 : 38,382.12 = 9,806.42 : x
  2. Step 2: Convert to fraction form
    25,605.41/38,382.12 = 9,806.42/x
  3. Step 3: Cross multiply
    25,605.41x = 38,382.12 × 9,806.42
  4. Step 4: Simplify right side
    25,605.41x = 376,391,285.17
  5. Step 5: Solve for x
    x = 376,391,285.17/25,605.41
  6. Step 6: Final answer
    x = 14,699.68

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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.