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Finding the Fourth Proportional to 30,224.96, 41,713.12 and 17,653.76

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Solution

The fourth proportional to 30,224.96, 41,713.12 and 17,653.76 is: 24,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.96 : 41,713.12 = 17,653.76 : x
  2. Step 2: Convert to fraction form
    30,224.96/41,713.12 = 17,653.76/x
  3. Step 3: Cross multiply
    30,224.96x = 41,713.12 × 17,653.76
  4. Step 4: Simplify right side
    30,224.96x = 736,393,409.33
  5. Step 5: Solve for x
    x = 736,393,409.33/30,224.96
  6. Step 6: Final answer
    x = 24,363.75

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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.