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Finding the Fourth Proportional to 21,466.38, 32,195.93 and 5,671.59

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Solution

The fourth proportional to 21,466.38, 32,195.93 and 5,671.59 is: 8,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.38 : 32,195.93 = 5,671.59 : x
  2. Step 2: Convert to fraction form
    21,466.38/32,195.93 = 5,671.59/x
  3. Step 3: Cross multiply
    21,466.38x = 32,195.93 × 5,671.59
  4. Step 4: Simplify right side
    21,466.38x = 182,602,114.63
  5. Step 5: Solve for x
    x = 182,602,114.63/21,466.38
  6. Step 6: Final answer
    x = 8,506.42

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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.