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Finding the Fourth Proportional to 16,419.40, 22,650.66 and 9,701.78

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Solution

The fourth proportional to 16,419.40, 22,650.66 and 9,701.78 is: 13,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.40 : 22,650.66 = 9,701.78 : x
  2. Step 2: Convert to fraction form
    16,419.40/22,650.66 = 9,701.78/x
  3. Step 3: Cross multiply
    16,419.40x = 22,650.66 × 9,701.78
  4. Step 4: Simplify right side
    16,419.40x = 219,751,776.80
  5. Step 5: Solve for x
    x = 219,751,776.80/16,419.40
  6. Step 6: Final answer
    x = 13,383.67

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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.