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Finding the Fourth Proportional to 25,255.68, 37,883.52 and 7,732.32

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Solution

The fourth proportional to 25,255.68, 37,883.52 and 7,732.32 is: 11,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,255.68 : 37,883.52 = 7,732.32 : x
  2. Step 2: Convert to fraction form
    25,255.68/37,883.52 = 7,732.32/x
  3. Step 3: Cross multiply
    25,255.68x = 37,883.52 × 7,732.32
  4. Step 4: Simplify right side
    25,255.68x = 292,927,499.37
  5. Step 5: Solve for x
    x = 292,927,499.37/25,255.68
  6. Step 6: Final answer
    x = 11,598.48

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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.