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Finding the Fourth Proportional to 16,044.34, 22,138.02 and 9,674.50

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Solution

The fourth proportional to 16,044.34, 22,138.02 and 9,674.50 is: 13,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.34 : 22,138.02 = 9,674.50 : x
  2. Step 2: Convert to fraction form
    16,044.34/22,138.02 = 9,674.50/x
  3. Step 3: Cross multiply
    16,044.34x = 22,138.02 × 9,674.50
  4. Step 4: Simplify right side
    16,044.34x = 214,174,274.49
  5. Step 5: Solve for x
    x = 214,174,274.49/16,044.34
  6. Step 6: Final answer
    x = 13,348.90

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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.