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Finding the Fourth Proportional to 35,224.27, 52,802.99 and 13,022.57

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Solution

The fourth proportional to 35,224.27, 52,802.99 and 13,022.57 is: 19,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224.27 : 52,802.99 = 13,022.57 : x
  2. Step 2: Convert to fraction form
    35,224.27/52,802.99 = 13,022.57/x
  3. Step 3: Cross multiply
    35,224.27x = 52,802.99 × 13,022.57
  4. Step 4: Simplify right side
    35,224.27x = 687,630,749.21
  5. Step 5: Solve for x
    x = 687,630,749.21/35,224.27
  6. Step 6: Final answer
    x = 19,521.51

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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.