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Finding the Fourth Proportional to 25,230.96, 37,850.10 and 7,698.51

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Solution

The fourth proportional to 25,230.96, 37,850.10 and 7,698.51 is: 11,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,230.96 : 37,850.10 = 7,698.51 : x
  2. Step 2: Convert to fraction form
    25,230.96/37,850.10 = 7,698.51/x
  3. Step 3: Cross multiply
    25,230.96x = 37,850.10 × 7,698.51
  4. Step 4: Simplify right side
    25,230.96x = 291,389,373.35
  5. Step 5: Solve for x
    x = 291,389,373.35/25,230.96
  6. Step 6: Final answer
    x = 11,548.88

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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.