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Finding the Fourth Proportional to 25,097.60, 37,649.98 and 8,227

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Solution

The fourth proportional to 25,097.60, 37,649.98 and 8,227 is: 12,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.60 : 37,649.98 = 8,227 : x
  2. Step 2: Convert to fraction form
    25,097.60/37,649.98 = 8,227/x
  3. Step 3: Cross multiply
    25,097.60x = 37,649.98 × 8,227
  4. Step 4: Simplify right side
    25,097.60x = 309,746,385.46
  5. Step 5: Solve for x
    x = 309,746,385.46/25,097.60
  6. Step 6: Final answer
    x = 12,341.67

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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.