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Finding the Fourth Proportional to 16,699.68, 23,040.72 and 10,409.76

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Solution

The fourth proportional to 16,699.68, 23,040.72 and 10,409.76 is: 14,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.68 : 23,040.72 = 10,409.76 : x
  2. Step 2: Convert to fraction form
    16,699.68/23,040.72 = 10,409.76/x
  3. Step 3: Cross multiply
    16,699.68x = 23,040.72 × 10,409.76
  4. Step 4: Simplify right side
    16,699.68x = 239,848,365.43
  5. Step 5: Solve for x
    x = 239,848,365.43/16,699.68
  6. Step 6: Final answer
    x = 14,362.45

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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.