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Finding the Fourth Proportional to 16,148.94, 22,283.17 and 8,978.28

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Solution

The fourth proportional to 16,148.94, 22,283.17 and 8,978.28 is: 12,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.94 : 22,283.17 = 8,978.28 : x
  2. Step 2: Convert to fraction form
    16,148.94/22,283.17 = 8,978.28/x
  3. Step 3: Cross multiply
    16,148.94x = 22,283.17 × 8,978.28
  4. Step 4: Simplify right side
    16,148.94x = 200,064,539.55
  5. Step 5: Solve for x
    x = 200,064,539.55/16,148.94
  6. Step 6: Final answer
    x = 12,388.71

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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.