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Finding the Fourth Proportional to 22,621.24, 33,919.40 and 17,971

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Solution

The fourth proportional to 22,621.24, 33,919.40 and 17,971 is: 26,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,621.24 : 33,919.40 = 17,971 : x
  2. Step 2: Convert to fraction form
    22,621.24/33,919.40 = 17,971/x
  3. Step 3: Cross multiply
    22,621.24x = 33,919.40 × 17,971
  4. Step 4: Simplify right side
    22,621.24x = 609,565,537.40
  5. Step 5: Solve for x
    x = 609,565,537.40/22,621.24
  6. Step 6: Final answer
    x = 26,946.60

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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.