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Finding the Fourth Proportional to 14,054.82, 19,387.08 and 9,017.34

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Solution

The fourth proportional to 14,054.82, 19,387.08 and 9,017.34 is: 12,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.82 : 19,387.08 = 9,017.34 : x
  2. Step 2: Convert to fraction form
    14,054.82/19,387.08 = 9,017.34/x
  3. Step 3: Cross multiply
    14,054.82x = 19,387.08 × 9,017.34
  4. Step 4: Simplify right side
    14,054.82x = 174,819,891.97
  5. Step 5: Solve for x
    x = 174,819,891.97/14,054.82
  6. Step 6: Final answer
    x = 12,438.43

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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.