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Finding the Fourth Proportional to 27,149.40, 40,725.36 and 9,621

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Solution

The fourth proportional to 27,149.40, 40,725.36 and 9,621 is: 14,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.40 : 40,725.36 = 9,621 : x
  2. Step 2: Convert to fraction form
    27,149.40/40,725.36 = 9,621/x
  3. Step 3: Cross multiply
    27,149.40x = 40,725.36 × 9,621
  4. Step 4: Simplify right side
    27,149.40x = 391,818,688.56
  5. Step 5: Solve for x
    x = 391,818,688.56/27,149.40
  6. Step 6: Final answer
    x = 14,431.95

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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.