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Finding the Fourth Proportional to 16,857.70, 23,292.49 and 13,347.56

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Solution

The fourth proportional to 16,857.70, 23,292.49 and 13,347.56 is: 18,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.70 : 23,292.49 = 13,347.56 : x
  2. Step 2: Convert to fraction form
    16,857.70/23,292.49 = 13,347.56/x
  3. Step 3: Cross multiply
    16,857.70x = 23,292.49 × 13,347.56
  4. Step 4: Simplify right side
    16,857.70x = 310,897,907.82
  5. Step 5: Solve for x
    x = 310,897,907.82/16,857.70
  6. Step 6: Final answer
    x = 18,442.49

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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.