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Finding the Fourth Proportional to 16,575.96, 22,874.76 and 9,506.48

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Solution

The fourth proportional to 16,575.96, 22,874.76 and 9,506.48 is: 13,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.96 : 22,874.76 = 9,506.48 : x
  2. Step 2: Convert to fraction form
    16,575.96/22,874.76 = 9,506.48/x
  3. Step 3: Cross multiply
    16,575.96x = 22,874.76 × 9,506.48
  4. Step 4: Simplify right side
    16,575.96x = 217,458,448.44
  5. Step 5: Solve for x
    x = 217,458,448.44/16,575.96
  6. Step 6: Final answer
    x = 13,118.91

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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.