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Finding the Fourth Proportional to 22,521.50, 31,086.96 and 14,138

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Solution

The fourth proportional to 22,521.50, 31,086.96 and 14,138 is: 19,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.50 : 31,086.96 = 14,138 : x
  2. Step 2: Convert to fraction form
    22,521.50/31,086.96 = 14,138/x
  3. Step 3: Cross multiply
    22,521.50x = 31,086.96 × 14,138
  4. Step 4: Simplify right side
    22,521.50x = 439,507,440.48
  5. Step 5: Solve for x
    x = 439,507,440.48/22,521.50
  6. Step 6: Final answer
    x = 19,515.02

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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.