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Finding the Fourth Proportional to 22,114, 30,517.50 and 12,178

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Solution

The fourth proportional to 22,114, 30,517.50 and 12,178 is: 16,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114 : 30,517.50 = 12,178 : x
  2. Step 2: Convert to fraction form
    22,114/30,517.50 = 12,178/x
  3. Step 3: Cross multiply
    22,114x = 30,517.50 × 12,178
  4. Step 4: Simplify right side
    22,114x = 371,642,115
  5. Step 5: Solve for x
    x = 371,642,115/22,114
  6. Step 6: Final answer
    x = 16,805.74

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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.