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Finding the Fourth Proportional to 20,989, 28,964.82 and 11,557.54

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Solution

The fourth proportional to 20,989, 28,964.82 and 11,557.54 is: 15,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989 : 28,964.82 = 11,557.54 : x
  2. Step 2: Convert to fraction form
    20,989/28,964.82 = 11,557.54/x
  3. Step 3: Cross multiply
    20,989x = 28,964.82 × 11,557.54
  4. Step 4: Simplify right side
    20,989x = 334,762,065.74
  5. Step 5: Solve for x
    x = 334,762,065.74/20,989
  6. Step 6: Final answer
    x = 15,949.41

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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.