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Finding the Fourth Proportional to 16,744.91, 23,109.39 and 9,192.52

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Solution

The fourth proportional to 16,744.91, 23,109.39 and 9,192.52 is: 12,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.91 : 23,109.39 = 9,192.52 : x
  2. Step 2: Convert to fraction form
    16,744.91/23,109.39 = 9,192.52/x
  3. Step 3: Cross multiply
    16,744.91x = 23,109.39 × 9,192.52
  4. Step 4: Simplify right side
    16,744.91x = 212,433,368.25
  5. Step 5: Solve for x
    x = 212,433,368.25/16,744.91
  6. Step 6: Final answer
    x = 12,686.45

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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.