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Finding the Fourth Proportional to 18,491, 25,517.74 and 10,107.50

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Solution

The fourth proportional to 18,491, 25,517.74 and 10,107.50 is: 13,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,491 : 25,517.74 = 10,107.50 : x
  2. Step 2: Convert to fraction form
    18,491/25,517.74 = 10,107.50/x
  3. Step 3: Cross multiply
    18,491x = 25,517.74 × 10,107.50
  4. Step 4: Simplify right side
    18,491x = 257,920,557.05
  5. Step 5: Solve for x
    x = 257,920,557.05/18,491
  6. Step 6: Final answer
    x = 13,948.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.