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Finding the Fourth Proportional to 12,817.82, 17,677.53 and 8,339.93

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Solution

The fourth proportional to 12,817.82, 17,677.53 and 8,339.93 is: 11,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.82 : 17,677.53 = 8,339.93 : x
  2. Step 2: Convert to fraction form
    12,817.82/17,677.53 = 8,339.93/x
  3. Step 3: Cross multiply
    12,817.82x = 17,677.53 × 8,339.93
  4. Step 4: Simplify right side
    12,817.82x = 147,429,274.39
  5. Step 5: Solve for x
    x = 147,429,274.39/12,817.82
  6. Step 6: Final answer
    x = 11,501.90

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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.