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Finding the Fourth Proportional to 15,140.40, 20,894.16 and 8,425.44

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Solution

The fourth proportional to 15,140.40, 20,894.16 and 8,425.44 is: 11,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.40 : 20,894.16 = 8,425.44 : x
  2. Step 2: Convert to fraction form
    15,140.40/20,894.16 = 8,425.44/x
  3. Step 3: Cross multiply
    15,140.40x = 20,894.16 × 8,425.44
  4. Step 4: Simplify right side
    15,140.40x = 176,042,491.43
  5. Step 5: Solve for x
    x = 176,042,491.43/15,140.40
  6. Step 6: Final answer
    x = 11,627.33

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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.