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Finding the Fourth Proportional to 20,658.63, 30,970.67 and 9,573.26

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Solution

The fourth proportional to 20,658.63, 30,970.67 and 9,573.26 is: 14,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.63 : 30,970.67 = 9,573.26 : x
  2. Step 2: Convert to fraction form
    20,658.63/30,970.67 = 9,573.26/x
  3. Step 3: Cross multiply
    20,658.63x = 30,970.67 × 9,573.26
  4. Step 4: Simplify right side
    20,658.63x = 296,490,276.28
  5. Step 5: Solve for x
    x = 296,490,276.28/20,658.63
  6. Step 6: Final answer
    x = 14,351.88

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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.