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Finding the Fourth Proportional to 25,518.01, 38,278.50 and 7,749.25

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Solution

The fourth proportional to 25,518.01, 38,278.50 and 7,749.25 is: 11,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,518.01 : 38,278.50 = 7,749.25 : x
  2. Step 2: Convert to fraction form
    25,518.01/38,278.50 = 7,749.25/x
  3. Step 3: Cross multiply
    25,518.01x = 38,278.50 × 7,749.25
  4. Step 4: Simplify right side
    25,518.01x = 296,629,666.13
  5. Step 5: Solve for x
    x = 296,629,666.13/25,518.01
  6. Step 6: Final answer
    x = 11,624.33

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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.