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Finding the Fourth Proportional to 25,596.89, 38,395.44 and 9,798.25

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Solution

The fourth proportional to 25,596.89, 38,395.44 and 9,798.25 is: 14,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.89 : 38,395.44 = 9,798.25 : x
  2. Step 2: Convert to fraction form
    25,596.89/38,395.44 = 9,798.25/x
  3. Step 3: Cross multiply
    25,596.89x = 38,395.44 × 9,798.25
  4. Step 4: Simplify right side
    25,596.89x = 376,208,023.99
  5. Step 5: Solve for x
    x = 376,208,023.99/25,596.89
  6. Step 6: Final answer
    x = 14,697.41

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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.