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Finding the Fourth Proportional to 12,614.34, 17,389.61 and 8,825.77

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Solution

The fourth proportional to 12,614.34, 17,389.61 and 8,825.77 is: 12,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.34 : 17,389.61 = 8,825.77 : x
  2. Step 2: Convert to fraction form
    12,614.34/17,389.61 = 8,825.77/x
  3. Step 3: Cross multiply
    12,614.34x = 17,389.61 × 8,825.77
  4. Step 4: Simplify right side
    12,614.34x = 153,476,654.12
  5. Step 5: Solve for x
    x = 153,476,654.12/12,614.34
  6. Step 6: Final answer
    x = 12,166.84

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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.