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Finding the Fourth Proportional to 16,048.67, 22,148.64 and 8,977.37

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Solution

The fourth proportional to 16,048.67, 22,148.64 and 8,977.37 is: 12,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.67 : 22,148.64 = 8,977.37 : x
  2. Step 2: Convert to fraction form
    16,048.67/22,148.64 = 8,977.37/x
  3. Step 3: Cross multiply
    16,048.67x = 22,148.64 × 8,977.37
  4. Step 4: Simplify right side
    16,048.67x = 198,836,425.53
  5. Step 5: Solve for x
    x = 198,836,425.53/16,048.67
  6. Step 6: Final answer
    x = 12,389.59

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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.