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Finding the Fourth Proportional to 11,931.36, 17,899.86 and 11,733

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Solution

The fourth proportional to 11,931.36, 17,899.86 and 11,733 is: 17,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.36 : 17,899.86 = 11,733 : x
  2. Step 2: Convert to fraction form
    11,931.36/17,899.86 = 11,733/x
  3. Step 3: Cross multiply
    11,931.36x = 17,899.86 × 11,733
  4. Step 4: Simplify right side
    11,931.36x = 210,019,057.38
  5. Step 5: Solve for x
    x = 210,019,057.38/11,931.36
  6. Step 6: Final answer
    x = 17,602.27

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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.