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Finding the Fourth Proportional to 22,524.36, 31,084.49 and 14,957.64

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Solution

The fourth proportional to 22,524.36, 31,084.49 and 14,957.64 is: 20,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.36 : 31,084.49 = 14,957.64 : x
  2. Step 2: Convert to fraction form
    22,524.36/31,084.49 = 14,957.64/x
  3. Step 3: Cross multiply
    22,524.36x = 31,084.49 × 14,957.64
  4. Step 4: Simplify right side
    22,524.36x = 464,950,536.22
  5. Step 5: Solve for x
    x = 464,950,536.22/22,524.36
  6. Step 6: Final answer
    x = 20,642.12

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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.