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Finding the Fourth Proportional to 16,314.58, 22,513.87 and 9,144.48

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Solution

The fourth proportional to 16,314.58, 22,513.87 and 9,144.48 is: 12,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.58 : 22,513.87 = 9,144.48 : x
  2. Step 2: Convert to fraction form
    16,314.58/22,513.87 = 9,144.48/x
  3. Step 3: Cross multiply
    16,314.58x = 22,513.87 × 9,144.48
  4. Step 4: Simplify right side
    16,314.58x = 205,877,633.94
  5. Step 5: Solve for x
    x = 205,877,633.94/16,314.58
  6. Step 6: Final answer
    x = 12,619.24

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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.