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Finding the Fourth Proportional to 39,306, 58,968.72 and 13,013.40

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Solution

The fourth proportional to 39,306, 58,968.72 and 13,013.40 is: 19,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,306 : 58,968.72 = 13,013.40 : x
  2. Step 2: Convert to fraction form
    39,306/58,968.72 = 13,013.40/x
  3. Step 3: Cross multiply
    39,306x = 58,968.72 × 13,013.40
  4. Step 4: Simplify right side
    39,306x = 767,383,540.85
  5. Step 5: Solve for x
    x = 767,383,540.85/39,306
  6. Step 6: Final answer
    x = 19,523.32

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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.