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Finding the Fourth Proportional to 38,277.70, 57,422.71 and 13,324.84

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Solution

The fourth proportional to 38,277.70, 57,422.71 and 13,324.84 is: 19,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.70 : 57,422.71 = 13,324.84 : x
  2. Step 2: Convert to fraction form
    38,277.70/57,422.71 = 13,324.84/x
  3. Step 3: Cross multiply
    38,277.70x = 57,422.71 × 13,324.84
  4. Step 4: Simplify right side
    38,277.70x = 765,148,423.12
  5. Step 5: Solve for x
    x = 765,148,423.12/38,277.70
  6. Step 6: Final answer
    x = 19,989.40

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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.