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Finding the Fourth Proportional to 13,114.64, 18,097.56 and 7,146.28

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Solution

The fourth proportional to 13,114.64, 18,097.56 and 7,146.28 is: 9,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.64 : 18,097.56 = 7,146.28 : x
  2. Step 2: Convert to fraction form
    13,114.64/18,097.56 = 7,146.28/x
  3. Step 3: Cross multiply
    13,114.64x = 18,097.56 × 7,146.28
  4. Step 4: Simplify right side
    13,114.64x = 129,330,231.08
  5. Step 5: Solve for x
    x = 129,330,231.08/13,114.64
  6. Step 6: Final answer
    x = 9,861.52

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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.