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Finding the Fourth Proportional to 13,730.30, 20,594.97 and 5,827.74

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Solution

The fourth proportional to 13,730.30, 20,594.97 and 5,827.74 is: 8,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.30 : 20,594.97 = 5,827.74 : x
  2. Step 2: Convert to fraction form
    13,730.30/20,594.97 = 5,827.74/x
  3. Step 3: Cross multiply
    13,730.30x = 20,594.97 × 5,827.74
  4. Step 4: Simplify right side
    13,730.30x = 120,022,130.47
  5. Step 5: Solve for x
    x = 120,022,130.47/13,730.30
  6. Step 6: Final answer
    x = 8,741.41

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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.