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Finding the Fourth Proportional to 22,172, 30,597.40 and 12,236

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Solution

The fourth proportional to 22,172, 30,597.40 and 12,236 is: 16,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172 : 30,597.40 = 12,236 : x
  2. Step 2: Convert to fraction form
    22,172/30,597.40 = 12,236/x
  3. Step 3: Cross multiply
    22,172x = 30,597.40 × 12,236
  4. Step 4: Simplify right side
    22,172x = 374,389,786.40
  5. Step 5: Solve for x
    x = 374,389,786.40/22,172
  6. Step 6: Final answer
    x = 16,885.70

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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.