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Finding the Fourth Proportional to 12,274.02, 18,415.58 and 7,347.11

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Solution

The fourth proportional to 12,274.02, 18,415.58 and 7,347.11 is: 11,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.02 : 18,415.58 = 7,347.11 : x
  2. Step 2: Convert to fraction form
    12,274.02/18,415.58 = 7,347.11/x
  3. Step 3: Cross multiply
    12,274.02x = 18,415.58 × 7,347.11
  4. Step 4: Simplify right side
    12,274.02x = 135,301,163.16
  5. Step 5: Solve for x
    x = 135,301,163.16/12,274.02
  6. Step 6: Final answer
    x = 11,023.38

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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.