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Finding the Fourth Proportional to 25,101.90, 37,650.81 and 8,461.58

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Solution

The fourth proportional to 25,101.90, 37,650.81 and 8,461.58 is: 12,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.90 : 37,650.81 = 8,461.58 : x
  2. Step 2: Convert to fraction form
    25,101.90/37,650.81 = 8,461.58/x
  3. Step 3: Cross multiply
    25,101.90x = 37,650.81 × 8,461.58
  4. Step 4: Simplify right side
    25,101.90x = 318,585,152.63
  5. Step 5: Solve for x
    x = 318,585,152.63/25,101.90
  6. Step 6: Final answer
    x = 12,691.67

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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.