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Finding the Fourth Proportional to 25,097.76, 37,650.69 and 8,459.28

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Solution

The fourth proportional to 25,097.76, 37,650.69 and 8,459.28 is: 12,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.76 : 37,650.69 = 8,459.28 : x
  2. Step 2: Convert to fraction form
    25,097.76/37,650.69 = 8,459.28/x
  3. Step 3: Cross multiply
    25,097.76x = 37,650.69 × 8,459.28
  4. Step 4: Simplify right side
    25,097.76x = 318,497,728.90
  5. Step 5: Solve for x
    x = 318,497,728.90/25,097.76
  6. Step 6: Final answer
    x = 12,690.29

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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.