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Finding the Fourth Proportional to 11,742.93, 17,614.14 and 2,858.30

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Solution

The fourth proportional to 11,742.93, 17,614.14 and 2,858.30 is: 4,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.93 : 17,614.14 = 2,858.30 : x
  2. Step 2: Convert to fraction form
    11,742.93/17,614.14 = 2,858.30/x
  3. Step 3: Cross multiply
    11,742.93x = 17,614.14 × 2,858.30
  4. Step 4: Simplify right side
    11,742.93x = 50,346,482.07
  5. Step 5: Solve for x
    x = 50,346,482.07/11,742.93
  6. Step 6: Final answer
    x = 4,287.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.