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Finding the Fourth Proportional to 19,686.31, 27,178.41 and 12,969.49

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Solution

The fourth proportional to 19,686.31, 27,178.41 and 12,969.49 is: 17,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.31 : 27,178.41 = 12,969.49 : x
  2. Step 2: Convert to fraction form
    19,686.31/27,178.41 = 12,969.49/x
  3. Step 3: Cross multiply
    19,686.31x = 27,178.41 × 12,969.49
  4. Step 4: Simplify right side
    19,686.31x = 352,490,116.71
  5. Step 5: Solve for x
    x = 352,490,116.71/19,686.31
  6. Step 6: Final answer
    x = 17,905.34

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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.