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Finding the Fourth Proportional to 16,922.50, 23,357.64 and 10,208.32

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Solution

The fourth proportional to 16,922.50, 23,357.64 and 10,208.32 is: 14,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.50 : 23,357.64 = 10,208.32 : x
  2. Step 2: Convert to fraction form
    16,922.50/23,357.64 = 10,208.32/x
  3. Step 3: Cross multiply
    16,922.50x = 23,357.64 × 10,208.32
  4. Step 4: Simplify right side
    16,922.50x = 238,442,263.56
  5. Step 5: Solve for x
    x = 238,442,263.56/16,922.50
  6. Step 6: Final answer
    x = 14,090.25

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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.