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Finding the Fourth Proportional to 22,953.30, 31,676.85 and 12,881.22

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Solution

The fourth proportional to 22,953.30, 31,676.85 and 12,881.22 is: 17,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.30 : 31,676.85 = 12,881.22 : x
  2. Step 2: Convert to fraction form
    22,953.30/31,676.85 = 12,881.22/x
  3. Step 3: Cross multiply
    22,953.30x = 31,676.85 × 12,881.22
  4. Step 4: Simplify right side
    22,953.30x = 408,036,473.76
  5. Step 5: Solve for x
    x = 408,036,473.76/22,953.30
  6. Step 6: Final answer
    x = 17,776.81

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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.