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Finding the Fourth Proportional to 35,459.14, 53,197.92 and 13,274.26

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Solution

The fourth proportional to 35,459.14, 53,197.92 and 13,274.26 is: 19,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,459.14 : 53,197.92 = 13,274.26 : x
  2. Step 2: Convert to fraction form
    35,459.14/53,197.92 = 13,274.26/x
  3. Step 3: Cross multiply
    35,459.14x = 53,197.92 × 13,274.26
  4. Step 4: Simplify right side
    35,459.14x = 706,163,021.54
  5. Step 5: Solve for x
    x = 706,163,021.54/35,459.14
  6. Step 6: Final answer
    x = 19,914.84

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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.