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Finding the Fourth Proportional to 16,697.39, 23,042.40 and 10,409.75

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Solution

The fourth proportional to 16,697.39, 23,042.40 and 10,409.75 is: 14,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.39 : 23,042.40 = 10,409.75 : x
  2. Step 2: Convert to fraction form
    16,697.39/23,042.40 = 10,409.75/x
  3. Step 3: Cross multiply
    16,697.39x = 23,042.40 × 10,409.75
  4. Step 4: Simplify right side
    16,697.39x = 239,865,623.40
  5. Step 5: Solve for x
    x = 239,865,623.40/16,697.39
  6. Step 6: Final answer
    x = 14,365.46

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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.