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Finding the Fourth Proportional to 18,257.21, 27,384.79 and 6,411.53

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Solution

The fourth proportional to 18,257.21, 27,384.79 and 6,411.53 is: 9,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.21 : 27,384.79 = 6,411.53 : x
  2. Step 2: Convert to fraction form
    18,257.21/27,384.79 = 6,411.53/x
  3. Step 3: Cross multiply
    18,257.21x = 27,384.79 × 6,411.53
  4. Step 4: Simplify right side
    18,257.21x = 175,578,402.63
  5. Step 5: Solve for x
    x = 175,578,402.63/18,257.21
  6. Step 6: Final answer
    x = 9,616.94

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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.