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Finding the Fourth Proportional to 16,808.88, 23,202.59 and 13,214.46

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Solution

The fourth proportional to 16,808.88, 23,202.59 and 13,214.46 is: 18,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.88 : 23,202.59 = 13,214.46 : x
  2. Step 2: Convert to fraction form
    16,808.88/23,202.59 = 13,214.46/x
  3. Step 3: Cross multiply
    16,808.88x = 23,202.59 × 13,214.46
  4. Step 4: Simplify right side
    16,808.88x = 306,609,697.45
  5. Step 5: Solve for x
    x = 306,609,697.45/16,808.88
  6. Step 6: Final answer
    x = 18,240.94

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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.