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Finding the Fourth Proportional to 14,640.18, 21,932.64 and 7,236

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Solution

The fourth proportional to 14,640.18, 21,932.64 and 7,236 is: 10,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.18 : 21,932.64 = 7,236 : x
  2. Step 2: Convert to fraction form
    14,640.18/21,932.64 = 7,236/x
  3. Step 3: Cross multiply
    14,640.18x = 21,932.64 × 7,236
  4. Step 4: Simplify right side
    14,640.18x = 158,704,583.04
  5. Step 5: Solve for x
    x = 158,704,583.04/14,640.18
  6. Step 6: Final answer
    x = 10,840.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.