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Finding the Fourth Proportional to 16,765.14, 23,137.90 and 10,054.46

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Solution

The fourth proportional to 16,765.14, 23,137.90 and 10,054.46 is: 13,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.14 : 23,137.90 = 10,054.46 : x
  2. Step 2: Convert to fraction form
    16,765.14/23,137.90 = 10,054.46/x
  3. Step 3: Cross multiply
    16,765.14x = 23,137.90 × 10,054.46
  4. Step 4: Simplify right side
    16,765.14x = 232,638,974.34
  5. Step 5: Solve for x
    x = 232,638,974.34/16,765.14
  6. Step 6: Final answer
    x = 13,876.35

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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.