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Finding the Fourth Proportional to 27,321, 40,972.35 and 10,676.70

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Solution

The fourth proportional to 27,321, 40,972.35 and 10,676.70 is: 16,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 40,972.35 = 10,676.70 : x
  2. Step 2: Convert to fraction form
    27,321/40,972.35 = 10,676.70/x
  3. Step 3: Cross multiply
    27,321x = 40,972.35 × 10,676.70
  4. Step 4: Simplify right side
    27,321x = 437,449,489.25
  5. Step 5: Solve for x
    x = 437,449,489.25/27,321
  6. Step 6: Final answer
    x = 16,011.47

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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.