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Finding the Fourth Proportional to 22,478.28, 31,021.72 and 13,048.26

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Solution

The fourth proportional to 22,478.28, 31,021.72 and 13,048.26 is: 18,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.28 : 31,021.72 = 13,048.26 : x
  2. Step 2: Convert to fraction form
    22,478.28/31,021.72 = 13,048.26/x
  3. Step 3: Cross multiply
    22,478.28x = 31,021.72 × 13,048.26
  4. Step 4: Simplify right side
    22,478.28x = 404,779,468.21
  5. Step 5: Solve for x
    x = 404,779,468.21/22,478.28
  6. Step 6: Final answer
    x = 18,007.58

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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.