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Finding the Fourth Proportional to 18,577.68, 25,644.78 and 13,853.76

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Solution

The fourth proportional to 18,577.68, 25,644.78 and 13,853.76 is: 19,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.68 : 25,644.78 = 13,853.76 : x
  2. Step 2: Convert to fraction form
    18,577.68/25,644.78 = 13,853.76/x
  3. Step 3: Cross multiply
    18,577.68x = 25,644.78 × 13,853.76
  4. Step 4: Simplify right side
    18,577.68x = 355,276,627.37
  5. Step 5: Solve for x
    x = 355,276,627.37/18,577.68
  6. Step 6: Final answer
    x = 19,123.84

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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.