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Finding the Fourth Proportional to 25,507.88, 38,276.94 and 13,820.84

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Solution

The fourth proportional to 25,507.88, 38,276.94 and 13,820.84 is: 20,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.88 : 38,276.94 = 13,820.84 : x
  2. Step 2: Convert to fraction form
    25,507.88/38,276.94 = 13,820.84/x
  3. Step 3: Cross multiply
    25,507.88x = 38,276.94 × 13,820.84
  4. Step 4: Simplify right side
    25,507.88x = 529,019,463.43
  5. Step 5: Solve for x
    x = 529,019,463.43/25,507.88
  6. Step 6: Final answer
    x = 20,739.45

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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.