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Finding the Fourth Proportional to 18,461.47, 27,689.09 and 5,979.67

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Solution

The fourth proportional to 18,461.47, 27,689.09 and 5,979.67 is: 8,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,461.47 : 27,689.09 = 5,979.67 : x
  2. Step 2: Convert to fraction form
    18,461.47/27,689.09 = 5,979.67/x
  3. Step 3: Cross multiply
    18,461.47x = 27,689.09 × 5,979.67
  4. Step 4: Simplify right side
    18,461.47x = 165,571,711.07
  5. Step 5: Solve for x
    x = 165,571,711.07/18,461.47
  6. Step 6: Final answer
    x = 8,968.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.