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Finding the Fourth Proportional to 13,354.84, 20,032.67 and 4,589.63

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Solution

The fourth proportional to 13,354.84, 20,032.67 and 4,589.63 is: 6,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.84 : 20,032.67 = 4,589.63 : x
  2. Step 2: Convert to fraction form
    13,354.84/20,032.67 = 4,589.63/x
  3. Step 3: Cross multiply
    13,354.84x = 20,032.67 × 4,589.63
  4. Step 4: Simplify right side
    13,354.84x = 91,942,543.21
  5. Step 5: Solve for x
    x = 91,942,543.21/13,354.84
  6. Step 6: Final answer
    x = 6,884.59

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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.