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Finding the Fourth Proportional to 23,797.96, 32,838.94 and 14,235.92

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Solution

The fourth proportional to 23,797.96, 32,838.94 and 14,235.92 is: 19,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.96 : 32,838.94 = 14,235.92 : x
  2. Step 2: Convert to fraction form
    23,797.96/32,838.94 = 14,235.92/x
  3. Step 3: Cross multiply
    23,797.96x = 32,838.94 × 14,235.92
  4. Step 4: Simplify right side
    23,797.96x = 467,492,522.72
  5. Step 5: Solve for x
    x = 467,492,522.72/23,797.96
  6. Step 6: Final answer
    x = 19,644.23

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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.