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Finding the Fourth Proportional to 14,606.64, 20,157.14 and 7,892.26

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Solution

The fourth proportional to 14,606.64, 20,157.14 and 7,892.26 is: 10,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.64 : 20,157.14 = 7,892.26 : x
  2. Step 2: Convert to fraction form
    14,606.64/20,157.14 = 7,892.26/x
  3. Step 3: Cross multiply
    14,606.64x = 20,157.14 × 7,892.26
  4. Step 4: Simplify right side
    14,606.64x = 159,085,389.74
  5. Step 5: Solve for x
    x = 159,085,389.74/14,606.64
  6. Step 6: Final answer
    x = 10,891.31

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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.