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Finding the Fourth Proportional to 13,730.44, 18,950.50 and 7,762.09

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Solution

The fourth proportional to 13,730.44, 18,950.50 and 7,762.09 is: 10,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.44 : 18,950.50 = 7,762.09 : x
  2. Step 2: Convert to fraction form
    13,730.44/18,950.50 = 7,762.09/x
  3. Step 3: Cross multiply
    13,730.44x = 18,950.50 × 7,762.09
  4. Step 4: Simplify right side
    13,730.44x = 147,095,486.55
  5. Step 5: Solve for x
    x = 147,095,486.55/13,730.44
  6. Step 6: Final answer
    x = 10,713.09

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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.