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Finding the Fourth Proportional to 22,700, 31,326 and 13,276.48

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Solution

The fourth proportional to 22,700, 31,326 and 13,276.48 is: 18,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700 : 31,326 = 13,276.48 : x
  2. Step 2: Convert to fraction form
    22,700/31,326 = 13,276.48/x
  3. Step 3: Cross multiply
    22,700x = 31,326 × 13,276.48
  4. Step 4: Simplify right side
    22,700x = 415,899,012.48
  5. Step 5: Solve for x
    x = 415,899,012.48/22,700
  6. Step 6: Final answer
    x = 18,321.54

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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.