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Finding the Fourth Proportional to 38,658.38, 57,985.74 and 13,698.02

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Solution

The fourth proportional to 38,658.38, 57,985.74 and 13,698.02 is: 20,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.38 : 57,985.74 = 13,698.02 : x
  2. Step 2: Convert to fraction form
    38,658.38/57,985.74 = 13,698.02/x
  3. Step 3: Cross multiply
    38,658.38x = 57,985.74 × 13,698.02
  4. Step 4: Simplify right side
    38,658.38x = 794,289,826.23
  5. Step 5: Solve for x
    x = 794,289,826.23/38,658.38
  6. Step 6: Final answer
    x = 20,546.38

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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.