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Finding the Fourth Proportional to 10,918.14, 16,377.93 and 9,184.38

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Solution

The fourth proportional to 10,918.14, 16,377.93 and 9,184.38 is: 13,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.14 : 16,377.93 = 9,184.38 : x
  2. Step 2: Convert to fraction form
    10,918.14/16,377.93 = 9,184.38/x
  3. Step 3: Cross multiply
    10,918.14x = 16,377.93 × 9,184.38
  4. Step 4: Simplify right side
    10,918.14x = 150,421,132.73
  5. Step 5: Solve for x
    x = 150,421,132.73/10,918.14
  6. Step 6: Final answer
    x = 13,777.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.