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Finding the Fourth Proportional to 22,776.09, 31,431.03 and 12,566.88

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Solution

The fourth proportional to 22,776.09, 31,431.03 and 12,566.88 is: 17,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.09 : 31,431.03 = 12,566.88 : x
  2. Step 2: Convert to fraction form
    22,776.09/31,431.03 = 12,566.88/x
  3. Step 3: Cross multiply
    22,776.09x = 31,431.03 × 12,566.88
  4. Step 4: Simplify right side
    22,776.09x = 394,989,982.29
  5. Step 5: Solve for x
    x = 394,989,982.29/22,776.09
  6. Step 6: Final answer
    x = 17,342.31

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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.