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Finding the Fourth Proportional to 16,802.48, 23,187.94 and 9,633.44

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Solution

The fourth proportional to 16,802.48, 23,187.94 and 9,633.44 is: 13,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.48 : 23,187.94 = 9,633.44 : x
  2. Step 2: Convert to fraction form
    16,802.48/23,187.94 = 9,633.44/x
  3. Step 3: Cross multiply
    16,802.48x = 23,187.94 × 9,633.44
  4. Step 4: Simplify right side
    16,802.48x = 223,379,628.71
  5. Step 5: Solve for x
    x = 223,379,628.71/16,802.48
  6. Step 6: Final answer
    x = 13,294.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.