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Finding the Fourth Proportional to 22,666.56, 31,281.84 and 12,596.96

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Solution

The fourth proportional to 22,666.56, 31,281.84 and 12,596.96 is: 17,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.56 : 31,281.84 = 12,596.96 : x
  2. Step 2: Convert to fraction form
    22,666.56/31,281.84 = 12,596.96/x
  3. Step 3: Cross multiply
    22,666.56x = 31,281.84 × 12,596.96
  4. Step 4: Simplify right side
    22,666.56x = 394,056,087.21
  5. Step 5: Solve for x
    x = 394,056,087.21/22,666.56
  6. Step 6: Final answer
    x = 17,384.91

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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.