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Finding the Fourth Proportional to 20,123.64, 30,173.04 and 9,596.88

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Solution

The fourth proportional to 20,123.64, 30,173.04 and 9,596.88 is: 14,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.64 : 30,173.04 = 9,596.88 : x
  2. Step 2: Convert to fraction form
    20,123.64/30,173.04 = 9,596.88/x
  3. Step 3: Cross multiply
    20,123.64x = 30,173.04 × 9,596.88
  4. Step 4: Simplify right side
    20,123.64x = 289,567,044.12
  5. Step 5: Solve for x
    x = 289,567,044.12/20,123.64
  6. Step 6: Final answer
    x = 14,389.40

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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.