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Finding the Fourth Proportional to 22,950.84, 31,664.94 and 12,877.80

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Solution

The fourth proportional to 22,950.84, 31,664.94 and 12,877.80 is: 17,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.84 : 31,664.94 = 12,877.80 : x
  2. Step 2: Convert to fraction form
    22,950.84/31,664.94 = 12,877.80/x
  3. Step 3: Cross multiply
    22,950.84x = 31,664.94 × 12,877.80
  4. Step 4: Simplify right side
    22,950.84x = 407,774,764.33
  5. Step 5: Solve for x
    x = 407,774,764.33/22,950.84
  6. Step 6: Final answer
    x = 17,767.31

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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.