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Finding the Fourth Proportional to 23,838.42, 35,757.65 and 12,159.84

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Solution

The fourth proportional to 23,838.42, 35,757.65 and 12,159.84 is: 18,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.42 : 35,757.65 = 12,159.84 : x
  2. Step 2: Convert to fraction form
    23,838.42/35,757.65 = 12,159.84/x
  3. Step 3: Cross multiply
    23,838.42x = 35,757.65 × 12,159.84
  4. Step 4: Simplify right side
    23,838.42x = 434,807,302.78
  5. Step 5: Solve for x
    x = 434,807,302.78/23,838.42
  6. Step 6: Final answer
    x = 18,239.77

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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.