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Finding the Fourth Proportional to 17,633.23, 26,462.63 and 6,541.50

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Solution

The fourth proportional to 17,633.23, 26,462.63 and 6,541.50 is: 9,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633.23 : 26,462.63 = 6,541.50 : x
  2. Step 2: Convert to fraction form
    17,633.23/26,462.63 = 6,541.50/x
  3. Step 3: Cross multiply
    17,633.23x = 26,462.63 × 6,541.50
  4. Step 4: Simplify right side
    17,633.23x = 173,105,294.15
  5. Step 5: Solve for x
    x = 173,105,294.15/17,633.23
  6. Step 6: Final answer
    x = 9,816.99

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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.