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Finding the Fourth Proportional to 20,521.32, 30,769 and 8,668.93

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Solution

The fourth proportional to 20,521.32, 30,769 and 8,668.93 is: 12,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.32 : 30,769 = 8,668.93 : x
  2. Step 2: Convert to fraction form
    20,521.32/30,769 = 8,668.93/x
  3. Step 3: Cross multiply
    20,521.32x = 30,769 × 8,668.93
  4. Step 4: Simplify right side
    20,521.32x = 266,734,307.17
  5. Step 5: Solve for x
    x = 266,734,307.17/20,521.32
  6. Step 6: Final answer
    x = 12,997.91

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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.