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Finding the Fourth Proportional to 16,409.93, 22,645.70 and 9,697.97

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Solution

The fourth proportional to 16,409.93, 22,645.70 and 9,697.97 is: 13,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.93 : 22,645.70 = 9,697.97 : x
  2. Step 2: Convert to fraction form
    16,409.93/22,645.70 = 9,697.97/x
  3. Step 3: Cross multiply
    16,409.93x = 22,645.70 × 9,697.97
  4. Step 4: Simplify right side
    16,409.93x = 219,617,327.35
  5. Step 5: Solve for x
    x = 219,617,327.35/16,409.93
  6. Step 6: Final answer
    x = 13,383.20

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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.