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Finding the Fourth Proportional to 17,632.13, 26,449.74 and 6,538.93

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Solution

The fourth proportional to 17,632.13, 26,449.74 and 6,538.93 is: 9,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.13 : 26,449.74 = 6,538.93 : x
  2. Step 2: Convert to fraction form
    17,632.13/26,449.74 = 6,538.93/x
  3. Step 3: Cross multiply
    17,632.13x = 26,449.74 × 6,538.93
  4. Step 4: Simplify right side
    17,632.13x = 172,952,932.25
  5. Step 5: Solve for x
    x = 172,952,932.25/17,632.13
  6. Step 6: Final answer
    x = 9,808.96

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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.