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Finding the Fourth Proportional to 14,103.53, 19,463.10 and 7,730.73

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Solution

The fourth proportional to 14,103.53, 19,463.10 and 7,730.73 is: 10,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.53 : 19,463.10 = 7,730.73 : x
  2. Step 2: Convert to fraction form
    14,103.53/19,463.10 = 7,730.73/x
  3. Step 3: Cross multiply
    14,103.53x = 19,463.10 × 7,730.73
  4. Step 4: Simplify right side
    14,103.53x = 150,463,971.06
  5. Step 5: Solve for x
    x = 150,463,971.06/14,103.53
  6. Step 6: Final answer
    x = 10,668.53

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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.