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Finding the Fourth Proportional to 17,638.74, 26,417.52 and 10,224.90

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Solution

The fourth proportional to 17,638.74, 26,417.52 and 10,224.90 is: 15,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.74 : 26,417.52 = 10,224.90 : x
  2. Step 2: Convert to fraction form
    17,638.74/26,417.52 = 10,224.90/x
  3. Step 3: Cross multiply
    17,638.74x = 26,417.52 × 10,224.90
  4. Step 4: Simplify right side
    17,638.74x = 270,116,500.25
  5. Step 5: Solve for x
    x = 270,116,500.25/17,638.74
  6. Step 6: Final answer
    x = 15,313.82

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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.