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Finding the Fourth Proportional to 24,842.16, 34,282.32 and 14,232.48

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Solution

The fourth proportional to 24,842.16, 34,282.32 and 14,232.48 is: 19,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.16 : 34,282.32 = 14,232.48 : x
  2. Step 2: Convert to fraction form
    24,842.16/34,282.32 = 14,232.48/x
  3. Step 3: Cross multiply
    24,842.16x = 34,282.32 × 14,232.48
  4. Step 4: Simplify right side
    24,842.16x = 487,922,433.75
  5. Step 5: Solve for x
    x = 487,922,433.75/24,842.16
  6. Step 6: Final answer
    x = 19,640.90

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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.