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Finding the Fourth Proportional to 25,089.93, 37,634.96 and 8,461.64

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Solution

The fourth proportional to 25,089.93, 37,634.96 and 8,461.64 is: 12,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.93 : 37,634.96 = 8,461.64 : x
  2. Step 2: Convert to fraction form
    25,089.93/37,634.96 = 8,461.64/x
  3. Step 3: Cross multiply
    25,089.93x = 37,634.96 × 8,461.64
  4. Step 4: Simplify right side
    25,089.93x = 318,453,462.37
  5. Step 5: Solve for x
    x = 318,453,462.37/25,089.93
  6. Step 6: Final answer
    x = 12,692.48

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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.