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Finding the Fourth Proportional to 11,681.08, 16,034.14 and 10,325.14

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Solution

The fourth proportional to 11,681.08, 16,034.14 and 10,325.14 is: 14,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.08 : 16,034.14 = 10,325.14 : x
  2. Step 2: Convert to fraction form
    11,681.08/16,034.14 = 10,325.14/x
  3. Step 3: Cross multiply
    11,681.08x = 16,034.14 × 10,325.14
  4. Step 4: Simplify right side
    11,681.08x = 165,554,740.28
  5. Step 5: Solve for x
    x = 165,554,740.28/11,681.08
  6. Step 6: Final answer
    x = 14,172.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.