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Finding the Fourth Proportional to 20,891.46, 28,830.09 and 11,460

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Solution

The fourth proportional to 20,891.46, 28,830.09 and 11,460 is: 15,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.46 : 28,830.09 = 11,460 : x
  2. Step 2: Convert to fraction form
    20,891.46/28,830.09 = 11,460/x
  3. Step 3: Cross multiply
    20,891.46x = 28,830.09 × 11,460
  4. Step 4: Simplify right side
    20,891.46x = 330,392,831.40
  5. Step 5: Solve for x
    x = 330,392,831.40/20,891.46
  6. Step 6: Final answer
    x = 15,814.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.