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Finding the Fourth Proportional to 16,755.84, 23,123.32 and 9,202.48

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Solution

The fourth proportional to 16,755.84, 23,123.32 and 9,202.48 is: 12,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,755.84 : 23,123.32 = 9,202.48 : x
  2. Step 2: Convert to fraction form
    16,755.84/23,123.32 = 9,202.48/x
  3. Step 3: Cross multiply
    16,755.84x = 23,123.32 × 9,202.48
  4. Step 4: Simplify right side
    16,755.84x = 212,791,809.02
  5. Step 5: Solve for x
    x = 212,791,809.02/16,755.84
  6. Step 6: Final answer
    x = 12,699.56

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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.