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Finding the Fourth Proportional to 25,097.10, 37,649.11 and 8,461.88

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Solution

The fourth proportional to 25,097.10, 37,649.11 and 8,461.88 is: 12,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.10 : 37,649.11 = 8,461.88 : x
  2. Step 2: Convert to fraction form
    25,097.10/37,649.11 = 8,461.88/x
  3. Step 3: Cross multiply
    25,097.10x = 37,649.11 × 8,461.88
  4. Step 4: Simplify right side
    25,097.10x = 318,582,355.63
  5. Step 5: Solve for x
    x = 318,582,355.63/25,097.10
  6. Step 6: Final answer
    x = 12,693.99

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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.