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Finding the Fourth Proportional to 13,984, 19,298.37 and 8,016.79

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Solution

The fourth proportional to 13,984, 19,298.37 and 8,016.79 is: 11,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 19,298.37 = 8,016.79 : x
  2. Step 2: Convert to fraction form
    13,984/19,298.37 = 8,016.79/x
  3. Step 3: Cross multiply
    13,984x = 19,298.37 × 8,016.79
  4. Step 4: Simplify right side
    13,984x = 154,710,979.63
  5. Step 5: Solve for x
    x = 154,710,979.63/13,984
  6. Step 6: Final answer
    x = 11,063.43

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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.