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Finding the Fourth Proportional to 22,652.40, 31,260.52 and 13,219.14

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Solution

The fourth proportional to 22,652.40, 31,260.52 and 13,219.14 is: 18,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.40 : 31,260.52 = 13,219.14 : x
  2. Step 2: Convert to fraction form
    22,652.40/31,260.52 = 13,219.14/x
  3. Step 3: Cross multiply
    22,652.40x = 31,260.52 × 13,219.14
  4. Step 4: Simplify right side
    22,652.40x = 413,237,190.35
  5. Step 5: Solve for x
    x = 413,237,190.35/22,652.40
  6. Step 6: Final answer
    x = 18,242.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.