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Finding the Fourth Proportional to 14,551.40, 20,184.11 and 14,054.12

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Solution

The fourth proportional to 14,551.40, 20,184.11 and 14,054.12 is: 19,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.40 : 20,184.11 = 14,054.12 : x
  2. Step 2: Convert to fraction form
    14,551.40/20,184.11 = 14,054.12/x
  3. Step 3: Cross multiply
    14,551.40x = 20,184.11 × 14,054.12
  4. Step 4: Simplify right side
    14,551.40x = 283,669,904.03
  5. Step 5: Solve for x
    x = 283,669,904.03/14,551.40
  6. Step 6: Final answer
    x = 19,494.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.