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Finding the Fourth Proportional to 13,653.63, 20,488.40 and 5,755.66

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Solution

The fourth proportional to 13,653.63, 20,488.40 and 5,755.66 is: 8,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.63 : 20,488.40 = 5,755.66 : x
  2. Step 2: Convert to fraction form
    13,653.63/20,488.40 = 5,755.66/x
  3. Step 3: Cross multiply
    13,653.63x = 20,488.40 × 5,755.66
  4. Step 4: Simplify right side
    13,653.63x = 117,924,250.93
  5. Step 5: Solve for x
    x = 117,924,250.93/13,653.63
  6. Step 6: Final answer
    x = 8,636.84

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