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Finding the Fourth Proportional to 22,800.49, 31,464.16 and 12,729.88

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Solution

The fourth proportional to 22,800.49, 31,464.16 and 12,729.88 is: 17,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800.49 : 31,464.16 = 12,729.88 : x
  2. Step 2: Convert to fraction form
    22,800.49/31,464.16 = 12,729.88/x
  3. Step 3: Cross multiply
    22,800.49x = 31,464.16 × 12,729.88
  4. Step 4: Simplify right side
    22,800.49x = 400,534,883.23
  5. Step 5: Solve for x
    x = 400,534,883.23/22,800.49
  6. Step 6: Final answer
    x = 17,566.94

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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.