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Finding the Fourth Proportional to 25,097.40, 37,649.57 and 8,462.19

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Solution

The fourth proportional to 25,097.40, 37,649.57 and 8,462.19 is: 12,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.40 : 37,649.57 = 8,462.19 : x
  2. Step 2: Convert to fraction form
    25,097.40/37,649.57 = 8,462.19/x
  3. Step 3: Cross multiply
    25,097.40x = 37,649.57 × 8,462.19
  4. Step 4: Simplify right side
    25,097.40x = 318,597,814.76
  5. Step 5: Solve for x
    x = 318,597,814.76/25,097.40
  6. Step 6: Final answer
    x = 12,694.45

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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.