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Finding the Fourth Proportional to 20,432.66, 30,606.46 and 13,000.30

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Solution

The fourth proportional to 20,432.66, 30,606.46 and 13,000.30 is: 19,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432.66 : 30,606.46 = 13,000.30 : x
  2. Step 2: Convert to fraction form
    20,432.66/30,606.46 = 13,000.30/x
  3. Step 3: Cross multiply
    20,432.66x = 30,606.46 × 13,000.30
  4. Step 4: Simplify right side
    20,432.66x = 397,893,052.92
  5. Step 5: Solve for x
    x = 397,893,052.92/20,432.66
  6. Step 6: Final answer
    x = 19,473.39

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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.