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Finding the Fourth Proportional to 21,578.72, 32,368.16 and 5,996.40

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Solution

The fourth proportional to 21,578.72, 32,368.16 and 5,996.40 is: 8,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.72 : 32,368.16 = 5,996.40 : x
  2. Step 2: Convert to fraction form
    21,578.72/32,368.16 = 5,996.40/x
  3. Step 3: Cross multiply
    21,578.72x = 32,368.16 × 5,996.40
  4. Step 4: Simplify right side
    21,578.72x = 194,092,434.62
  5. Step 5: Solve for x
    x = 194,092,434.62/21,578.72
  6. Step 6: Final answer
    x = 8,994.62

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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.