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Finding the Fourth Proportional to 20,598.86, 30,898.44 and 13,489.08

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Solution

The fourth proportional to 20,598.86, 30,898.44 and 13,489.08 is: 20,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.86 : 30,898.44 = 13,489.08 : x
  2. Step 2: Convert to fraction form
    20,598.86/30,898.44 = 13,489.08/x
  3. Step 3: Cross multiply
    20,598.86x = 30,898.44 × 13,489.08
  4. Step 4: Simplify right side
    20,598.86x = 416,791,529.04
  5. Step 5: Solve for x
    x = 416,791,529.04/20,598.86
  6. Step 6: Final answer
    x = 20,233.72

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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.