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Finding the Fourth Proportional to 25,105.58, 37,648.78 and 8,461.14

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Solution

The fourth proportional to 25,105.58, 37,648.78 and 8,461.14 is: 12,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.58 : 37,648.78 = 8,461.14 : x
  2. Step 2: Convert to fraction form
    25,105.58/37,648.78 = 8,461.14/x
  3. Step 3: Cross multiply
    25,105.58x = 37,648.78 × 8,461.14
  4. Step 4: Simplify right side
    25,105.58x = 318,551,598.41
  5. Step 5: Solve for x
    x = 318,551,598.41/25,105.58
  6. Step 6: Final answer
    x = 12,688.48

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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.