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Finding the Fourth Proportional to 14,536.68, 21,808.67 and 5,768.70

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Solution

The fourth proportional to 14,536.68, 21,808.67 and 5,768.70 is: 8,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.68 : 21,808.67 = 5,768.70 : x
  2. Step 2: Convert to fraction form
    14,536.68/21,808.67 = 5,768.70/x
  3. Step 3: Cross multiply
    14,536.68x = 21,808.67 × 5,768.70
  4. Step 4: Simplify right side
    14,536.68x = 125,807,645.79
  5. Step 5: Solve for x
    x = 125,807,645.79/14,536.68
  6. Step 6: Final answer
    x = 8,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.