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Finding the Fourth Proportional to 16,498.06, 22,768.53 and 9,424.33

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Solution

The fourth proportional to 16,498.06, 22,768.53 and 9,424.33 is: 13,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.06 : 22,768.53 = 9,424.33 : x
  2. Step 2: Convert to fraction form
    16,498.06/22,768.53 = 9,424.33/x
  3. Step 3: Cross multiply
    16,498.06x = 22,768.53 × 9,424.33
  4. Step 4: Simplify right side
    16,498.06x = 214,578,048.07
  5. Step 5: Solve for x
    x = 214,578,048.07/16,498.06
  6. Step 6: Final answer
    x = 13,006.26

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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.