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Finding the Fourth Proportional to 22,570.72, 31,149.36 and 13,013.68

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Solution

The fourth proportional to 22,570.72, 31,149.36 and 13,013.68 is: 17,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.72 : 31,149.36 = 13,013.68 : x
  2. Step 2: Convert to fraction form
    22,570.72/31,149.36 = 13,013.68/x
  3. Step 3: Cross multiply
    22,570.72x = 31,149.36 × 13,013.68
  4. Step 4: Simplify right side
    22,570.72x = 405,367,803.24
  5. Step 5: Solve for x
    x = 405,367,803.24/22,570.72
  6. Step 6: Final answer
    x = 17,959.90

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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.