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Finding the Fourth Proportional to 13,097.14, 18,074.10 and 7,128.88

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Solution

The fourth proportional to 13,097.14, 18,074.10 and 7,128.88 is: 9,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.14 : 18,074.10 = 7,128.88 : x
  2. Step 2: Convert to fraction form
    13,097.14/18,074.10 = 7,128.88/x
  3. Step 3: Cross multiply
    13,097.14x = 18,074.10 × 7,128.88
  4. Step 4: Simplify right side
    13,097.14x = 128,848,090.01
  5. Step 5: Solve for x
    x = 128,848,090.01/13,097.14
  6. Step 6: Final answer
    x = 9,837.88

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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.