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Finding the Fourth Proportional to 38,486.64, 57,685.14 and 16,292.64

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Solution

The fourth proportional to 38,486.64, 57,685.14 and 16,292.64 is: 24,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.64 : 57,685.14 = 16,292.64 : x
  2. Step 2: Convert to fraction form
    38,486.64/57,685.14 = 16,292.64/x
  3. Step 3: Cross multiply
    38,486.64x = 57,685.14 × 16,292.64
  4. Step 4: Simplify right side
    38,486.64x = 939,843,219.37
  5. Step 5: Solve for x
    x = 939,843,219.37/38,486.64
  6. Step 6: Final answer
    x = 24,419.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.