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Finding the Fourth Proportional to 25,181.58, 37,740 and 10,400.88

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Solution

The fourth proportional to 25,181.58, 37,740 and 10,400.88 is: 15,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,181.58 : 37,740 = 10,400.88 : x
  2. Step 2: Convert to fraction form
    25,181.58/37,740 = 10,400.88/x
  3. Step 3: Cross multiply
    25,181.58x = 37,740 × 10,400.88
  4. Step 4: Simplify right side
    25,181.58x = 392,529,211.20
  5. Step 5: Solve for x
    x = 392,529,211.20/25,181.58
  6. Step 6: Final answer
    x = 15,587.95

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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.