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Finding the Fourth Proportional to 23,086.70, 31,852.16 and 14,124.86

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Solution

The fourth proportional to 23,086.70, 31,852.16 and 14,124.86 is: 19,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.70 : 31,852.16 = 14,124.86 : x
  2. Step 2: Convert to fraction form
    23,086.70/31,852.16 = 14,124.86/x
  3. Step 3: Cross multiply
    23,086.70x = 31,852.16 × 14,124.86
  4. Step 4: Simplify right side
    23,086.70x = 449,907,300.70
  5. Step 5: Solve for x
    x = 449,907,300.70/23,086.70
  6. Step 6: Final answer
    x = 19,487.73

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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.