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Finding the Fourth Proportional to 25,532.35, 38,298.53 and 8,003.54

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Solution

The fourth proportional to 25,532.35, 38,298.53 and 8,003.54 is: 12,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.35 : 38,298.53 = 8,003.54 : x
  2. Step 2: Convert to fraction form
    25,532.35/38,298.53 = 8,003.54/x
  3. Step 3: Cross multiply
    25,532.35x = 38,298.53 × 8,003.54
  4. Step 4: Simplify right side
    25,532.35x = 306,523,932.55
  5. Step 5: Solve for x
    x = 306,523,932.55/25,532.35
  6. Step 6: Final answer
    x = 12,005.32

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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.