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Finding the Fourth Proportional to 25,431.86, 38,140.50 and 7,664.24

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Solution

The fourth proportional to 25,431.86, 38,140.50 and 7,664.24 is: 11,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431.86 : 38,140.50 = 7,664.24 : x
  2. Step 2: Convert to fraction form
    25,431.86/38,140.50 = 7,664.24/x
  3. Step 3: Cross multiply
    25,431.86x = 38,140.50 × 7,664.24
  4. Step 4: Simplify right side
    25,431.86x = 292,317,945.72
  5. Step 5: Solve for x
    x = 292,317,945.72/25,431.86
  6. Step 6: Final answer
    x = 11,494.16

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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.