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Finding the Fourth Proportional to 21,634, 32,467.32 and 11,244.88

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Solution

The fourth proportional to 21,634, 32,467.32 and 11,244.88 is: 16,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634 : 32,467.32 = 11,244.88 : x
  2. Step 2: Convert to fraction form
    21,634/32,467.32 = 11,244.88/x
  3. Step 3: Cross multiply
    21,634x = 32,467.32 × 11,244.88
  4. Step 4: Simplify right side
    21,634x = 365,091,117.32
  5. Step 5: Solve for x
    x = 365,091,117.32/21,634
  6. Step 6: Final answer
    x = 16,875.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.