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Finding the Fourth Proportional to 16,073.70, 22,178.12 and 9,701.33

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Solution

The fourth proportional to 16,073.70, 22,178.12 and 9,701.33 is: 13,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.70 : 22,178.12 = 9,701.33 : x
  2. Step 2: Convert to fraction form
    16,073.70/22,178.12 = 9,701.33/x
  3. Step 3: Cross multiply
    16,073.70x = 22,178.12 × 9,701.33
  4. Step 4: Simplify right side
    16,073.70x = 215,157,212.39
  5. Step 5: Solve for x
    x = 215,157,212.39/16,073.70
  6. Step 6: Final answer
    x = 13,385.67

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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.