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Finding the Fourth Proportional to 13,892.77, 19,180.97 and 12,398.12

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Solution

The fourth proportional to 13,892.77, 19,180.97 and 12,398.12 is: 17,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.77 : 19,180.97 = 12,398.12 : x
  2. Step 2: Convert to fraction form
    13,892.77/19,180.97 = 12,398.12/x
  3. Step 3: Cross multiply
    13,892.77x = 19,180.97 × 12,398.12
  4. Step 4: Simplify right side
    13,892.77x = 237,807,967.78
  5. Step 5: Solve for x
    x = 237,807,967.78/13,892.77
  6. Step 6: Final answer
    x = 17,117.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.