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Finding the Fourth Proportional to 20,014.24, 27,630.90 and 13,309

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Solution

The fourth proportional to 20,014.24, 27,630.90 and 13,309 is: 18,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.24 : 27,630.90 = 13,309 : x
  2. Step 2: Convert to fraction form
    20,014.24/27,630.90 = 13,309/x
  3. Step 3: Cross multiply
    20,014.24x = 27,630.90 × 13,309
  4. Step 4: Simplify right side
    20,014.24x = 367,739,648.10
  5. Step 5: Solve for x
    x = 367,739,648.10/20,014.24
  6. Step 6: Final answer
    x = 18,373.90

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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.