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Finding the Fourth Proportional to 14,538.36, 20,057.72 and 9,505.46

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Solution

The fourth proportional to 14,538.36, 20,057.72 and 9,505.46 is: 13,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.36 : 20,057.72 = 9,505.46 : x
  2. Step 2: Convert to fraction form
    14,538.36/20,057.72 = 9,505.46/x
  3. Step 3: Cross multiply
    14,538.36x = 20,057.72 × 9,505.46
  4. Step 4: Simplify right side
    14,538.36x = 190,657,855.15
  5. Step 5: Solve for x
    x = 190,657,855.15/14,538.36
  6. Step 6: Final answer
    x = 13,114.12

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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.