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Finding the Fourth Proportional to 21,675.64, 32,514.60 and 6,094.48

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Solution

The fourth proportional to 21,675.64, 32,514.60 and 6,094.48 is: 9,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.64 : 32,514.60 = 6,094.48 : x
  2. Step 2: Convert to fraction form
    21,675.64/32,514.60 = 6,094.48/x
  3. Step 3: Cross multiply
    21,675.64x = 32,514.60 × 6,094.48
  4. Step 4: Simplify right side
    21,675.64x = 198,159,579.41
  5. Step 5: Solve for x
    x = 198,159,579.41/21,675.64
  6. Step 6: Final answer
    x = 9,142.04

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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.