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Finding the Fourth Proportional to 13,963.90, 19,270.25 and 7,676.68

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Solution

The fourth proportional to 13,963.90, 19,270.25 and 7,676.68 is: 10,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.90 : 19,270.25 = 7,676.68 : x
  2. Step 2: Convert to fraction form
    13,963.90/19,270.25 = 7,676.68/x
  3. Step 3: Cross multiply
    13,963.90x = 19,270.25 × 7,676.68
  4. Step 4: Simplify right side
    13,963.90x = 147,931,542.77
  5. Step 5: Solve for x
    x = 147,931,542.77/13,963.90
  6. Step 6: Final answer
    x = 10,593.86

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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.