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Finding the Fourth Proportional to 25,596.20, 38,415.90 and 11,577.80

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Solution

The fourth proportional to 25,596.20, 38,415.90 and 11,577.80 is: 17,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.20 : 38,415.90 = 11,577.80 : x
  2. Step 2: Convert to fraction form
    25,596.20/38,415.90 = 11,577.80/x
  3. Step 3: Cross multiply
    25,596.20x = 38,415.90 × 11,577.80
  4. Step 4: Simplify right side
    25,596.20x = 444,771,607.02
  5. Step 5: Solve for x
    x = 444,771,607.02/25,596.20
  6. Step 6: Final answer
    x = 17,376.47

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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.