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Finding the Fourth Proportional to 16,415.22, 22,653.57 and 9,341.49

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Solution

The fourth proportional to 16,415.22, 22,653.57 and 9,341.49 is: 12,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.22 : 22,653.57 = 9,341.49 : x
  2. Step 2: Convert to fraction form
    16,415.22/22,653.57 = 9,341.49/x
  3. Step 3: Cross multiply
    16,415.22x = 22,653.57 × 9,341.49
  4. Step 4: Simplify right side
    16,415.22x = 211,618,097.62
  5. Step 5: Solve for x
    x = 211,618,097.62/16,415.22
  6. Step 6: Final answer
    x = 12,891.58

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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.