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Finding the Fourth Proportional to 14,652.16, 20,222.40 and 9,933.28

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Solution

The fourth proportional to 14,652.16, 20,222.40 and 9,933.28 is: 13,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.16 : 20,222.40 = 9,933.28 : x
  2. Step 2: Convert to fraction form
    14,652.16/20,222.40 = 9,933.28/x
  3. Step 3: Cross multiply
    14,652.16x = 20,222.40 × 9,933.28
  4. Step 4: Simplify right side
    14,652.16x = 200,874,761.47
  5. Step 5: Solve for x
    x = 200,874,761.47/14,652.16
  6. Step 6: Final answer
    x = 13,709.57

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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.