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Finding the Fourth Proportional to 17,632.23, 26,461.13 and 6,540.50

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Solution

The fourth proportional to 17,632.23, 26,461.13 and 6,540.50 is: 9,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.23 : 26,461.13 = 6,540.50 : x
  2. Step 2: Convert to fraction form
    17,632.23/26,461.13 = 6,540.50/x
  3. Step 3: Cross multiply
    17,632.23x = 26,461.13 × 6,540.50
  4. Step 4: Simplify right side
    17,632.23x = 173,068,855.76
  5. Step 5: Solve for x
    x = 173,068,855.76/17,632.23
  6. Step 6: Final answer
    x = 9,815.48

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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.