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Finding the Fourth Proportional to 14,286.51, 19,713.78 and 8,317.62

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Solution

The fourth proportional to 14,286.51, 19,713.78 and 8,317.62 is: 11,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.51 : 19,713.78 = 8,317.62 : x
  2. Step 2: Convert to fraction form
    14,286.51/19,713.78 = 8,317.62/x
  3. Step 3: Cross multiply
    14,286.51x = 19,713.78 × 8,317.62
  4. Step 4: Simplify right side
    14,286.51x = 163,971,730.80
  5. Step 5: Solve for x
    x = 163,971,730.80/14,286.51
  6. Step 6: Final answer
    x = 11,477.38

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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.