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Finding the Fourth Proportional to 13,731.78, 18,950.69 and 7,764.02

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Solution

The fourth proportional to 13,731.78, 18,950.69 and 7,764.02 is: 10,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.78 : 18,950.69 = 7,764.02 : x
  2. Step 2: Convert to fraction form
    13,731.78/18,950.69 = 7,764.02/x
  3. Step 3: Cross multiply
    13,731.78x = 18,950.69 × 7,764.02
  4. Step 4: Simplify right side
    13,731.78x = 147,133,402.60
  5. Step 5: Solve for x
    x = 147,133,402.60/13,731.78
  6. Step 6: Final answer
    x = 10,714.81

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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.