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Finding the Fourth Proportional to 13,242.40, 18,274.96 and 7,578.08

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Solution

The fourth proportional to 13,242.40, 18,274.96 and 7,578.08 is: 10,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.40 : 18,274.96 = 7,578.08 : x
  2. Step 2: Convert to fraction form
    13,242.40/18,274.96 = 7,578.08/x
  3. Step 3: Cross multiply
    13,242.40x = 18,274.96 × 7,578.08
  4. Step 4: Simplify right side
    13,242.40x = 138,489,108.88
  5. Step 5: Solve for x
    x = 138,489,108.88/13,242.40
  6. Step 6: Final answer
    x = 10,458.01

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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.