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Finding the Fourth Proportional to 12,918.90, 17,827.89 and 7,329.78

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Solution

The fourth proportional to 12,918.90, 17,827.89 and 7,329.78 is: 10,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918.90 : 17,827.89 = 7,329.78 : x
  2. Step 2: Convert to fraction form
    12,918.90/17,827.89 = 7,329.78/x
  3. Step 3: Cross multiply
    12,918.90x = 17,827.89 × 7,329.78
  4. Step 4: Simplify right side
    12,918.90x = 130,674,511.56
  5. Step 5: Solve for x
    x = 130,674,511.56/12,918.90
  6. Step 6: Final answer
    x = 10,114.99

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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.