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Finding the Fourth Proportional to 23,156.25, 31,955.94 and 13,602.66

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Solution

The fourth proportional to 23,156.25, 31,955.94 and 13,602.66 is: 18,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.25 : 31,955.94 = 13,602.66 : x
  2. Step 2: Convert to fraction form
    23,156.25/31,955.94 = 13,602.66/x
  3. Step 3: Cross multiply
    23,156.25x = 31,955.94 × 13,602.66
  4. Step 4: Simplify right side
    23,156.25x = 434,685,786.80
  5. Step 5: Solve for x
    x = 434,685,786.80/23,156.25
  6. Step 6: Final answer
    x = 18,771.86

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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.