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Finding the Fourth Proportional to 25,135.98, 37,697.74 and 8,495.64

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Solution

The fourth proportional to 25,135.98, 37,697.74 and 8,495.64 is: 12,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135.98 : 37,697.74 = 8,495.64 : x
  2. Step 2: Convert to fraction form
    25,135.98/37,697.74 = 8,495.64/x
  3. Step 3: Cross multiply
    25,135.98x = 37,697.74 × 8,495.64
  4. Step 4: Simplify right side
    25,135.98x = 320,266,522.10
  5. Step 5: Solve for x
    x = 320,266,522.10/25,135.98
  6. Step 6: Final answer
    x = 12,741.36

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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.