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Finding the Fourth Proportional to 25,596.95, 38,394.08 and 9,809.54

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Solution

The fourth proportional to 25,596.95, 38,394.08 and 9,809.54 is: 14,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.95 : 38,394.08 = 9,809.54 : x
  2. Step 2: Convert to fraction form
    25,596.95/38,394.08 = 9,809.54/x
  3. Step 3: Cross multiply
    25,596.95x = 38,394.08 × 9,809.54
  4. Step 4: Simplify right side
    25,596.95x = 376,628,203.27
  5. Step 5: Solve for x
    x = 376,628,203.27/25,596.95
  6. Step 6: Final answer
    x = 14,713.80

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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.