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Finding the Fourth Proportional to 14,905.28, 20,564.92 and 9,244.24

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Solution

The fourth proportional to 14,905.28, 20,564.92 and 9,244.24 is: 12,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.28 : 20,564.92 = 9,244.24 : x
  2. Step 2: Convert to fraction form
    14,905.28/20,564.92 = 9,244.24/x
  3. Step 3: Cross multiply
    14,905.28x = 20,564.92 × 9,244.24
  4. Step 4: Simplify right side
    14,905.28x = 190,107,056.06
  5. Step 5: Solve for x
    x = 190,107,056.06/14,905.28
  6. Step 6: Final answer
    x = 12,754.34

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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.