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Finding the Fourth Proportional to 23,467.96, 32,384.10 and 12,855.88

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Solution

The fourth proportional to 23,467.96, 32,384.10 and 12,855.88 is: 17,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.96 : 32,384.10 = 12,855.88 : x
  2. Step 2: Convert to fraction form
    23,467.96/32,384.10 = 12,855.88/x
  3. Step 3: Cross multiply
    23,467.96x = 32,384.10 × 12,855.88
  4. Step 4: Simplify right side
    23,467.96x = 416,326,103.51
  5. Step 5: Solve for x
    x = 416,326,103.51/23,467.96
  6. Step 6: Final answer
    x = 17,740.19

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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.