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Finding the Fourth Proportional to 16,252.94, 22,426.33 and 9,878.44

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Solution

The fourth proportional to 16,252.94, 22,426.33 and 9,878.44 is: 13,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.94 : 22,426.33 = 9,878.44 : x
  2. Step 2: Convert to fraction form
    16,252.94/22,426.33 = 9,878.44/x
  3. Step 3: Cross multiply
    16,252.94x = 22,426.33 × 9,878.44
  4. Step 4: Simplify right side
    16,252.94x = 221,537,155.33
  5. Step 5: Solve for x
    x = 221,537,155.33/16,252.94
  6. Step 6: Final answer
    x = 13,630.59

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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.