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Finding the Fourth Proportional to 22,798.90, 31,464.06 and 12,729.32

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Solution

The fourth proportional to 22,798.90, 31,464.06 and 12,729.32 is: 17,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.90 : 31,464.06 = 12,729.32 : x
  2. Step 2: Convert to fraction form
    22,798.90/31,464.06 = 12,729.32/x
  3. Step 3: Cross multiply
    22,798.90x = 31,464.06 × 12,729.32
  4. Step 4: Simplify right side
    22,798.90x = 400,515,930.92
  5. Step 5: Solve for x
    x = 400,515,930.92/22,798.90
  6. Step 6: Final answer
    x = 17,567.34

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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.