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Finding the Fourth Proportional to 16,136.96, 22,257.05 and 9,422.19

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Solution

The fourth proportional to 16,136.96, 22,257.05 and 9,422.19 is: 12,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.96 : 22,257.05 = 9,422.19 : x
  2. Step 2: Convert to fraction form
    16,136.96/22,257.05 = 9,422.19/x
  3. Step 3: Cross multiply
    16,136.96x = 22,257.05 × 9,422.19
  4. Step 4: Simplify right side
    16,136.96x = 209,710,106.83
  5. Step 5: Solve for x
    x = 209,710,106.83/16,136.96
  6. Step 6: Final answer
    x = 12,995.64

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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.