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Finding the Fourth Proportional to 16,224.82, 22,389.74 and 9,054.92

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Solution

The fourth proportional to 16,224.82, 22,389.74 and 9,054.92 is: 12,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.82 : 22,389.74 = 9,054.92 : x
  2. Step 2: Convert to fraction form
    16,224.82/22,389.74 = 9,054.92/x
  3. Step 3: Cross multiply
    16,224.82x = 22,389.74 × 9,054.92
  4. Step 4: Simplify right side
    16,224.82x = 202,737,304.52
  5. Step 5: Solve for x
    x = 202,737,304.52/16,224.82
  6. Step 6: Final answer
    x = 12,495.50

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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.