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Finding the Fourth Proportional to 25,102.37, 37,653.56 and 8,461.01

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Solution

The fourth proportional to 25,102.37, 37,653.56 and 8,461.01 is: 12,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.37 : 37,653.56 = 8,461.01 : x
  2. Step 2: Convert to fraction form
    25,102.37/37,653.56 = 8,461.01/x
  3. Step 3: Cross multiply
    25,102.37x = 37,653.56 × 8,461.01
  4. Step 4: Simplify right side
    25,102.37x = 318,587,241.83
  5. Step 5: Solve for x
    x = 318,587,241.83/25,102.37
  6. Step 6: Final answer
    x = 12,691.52

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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.