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Finding the Fourth Proportional to 39,798.06, 59,684.21 and 13,138.06

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Solution

The fourth proportional to 39,798.06, 59,684.21 and 13,138.06 is: 19,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798.06 : 59,684.21 = 13,138.06 : x
  2. Step 2: Convert to fraction form
    39,798.06/59,684.21 = 13,138.06/x
  3. Step 3: Cross multiply
    39,798.06x = 59,684.21 × 13,138.06
  4. Step 4: Simplify right side
    39,798.06x = 784,134,732.03
  5. Step 5: Solve for x
    x = 784,134,732.03/39,798.06
  6. Step 6: Final answer
    x = 19,702.84

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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.