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Finding the Fourth Proportional to 13,733.33, 18,949.64 and 7,764.87

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Solution

The fourth proportional to 13,733.33, 18,949.64 and 7,764.87 is: 10,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.33 : 18,949.64 = 7,764.87 : x
  2. Step 2: Convert to fraction form
    13,733.33/18,949.64 = 7,764.87/x
  3. Step 3: Cross multiply
    13,733.33x = 18,949.64 × 7,764.87
  4. Step 4: Simplify right side
    13,733.33x = 147,141,407.17
  5. Step 5: Solve for x
    x = 147,141,407.17/13,733.33
  6. Step 6: Final answer
    x = 10,714.19

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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.