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Finding the Fourth Proportional to 22,952.34, 31,467.94 and 22,537.62

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Solution

The fourth proportional to 22,952.34, 31,467.94 and 22,537.62 is: 30,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.34 : 31,467.94 = 22,537.62 : x
  2. Step 2: Convert to fraction form
    22,952.34/31,467.94 = 22,537.62/x
  3. Step 3: Cross multiply
    22,952.34x = 31,467.94 × 22,537.62
  4. Step 4: Simplify right side
    22,952.34x = 709,212,473.90
  5. Step 5: Solve for x
    x = 709,212,473.90/22,952.34
  6. Step 6: Final answer
    x = 30,899.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.