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Finding the Fourth Proportional to 12,415.47, 18,622.80 and 5,395.49

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Solution

The fourth proportional to 12,415.47, 18,622.80 and 5,395.49 is: 8,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.47 : 18,622.80 = 5,395.49 : x
  2. Step 2: Convert to fraction form
    12,415.47/18,622.80 = 5,395.49/x
  3. Step 3: Cross multiply
    12,415.47x = 18,622.80 × 5,395.49
  4. Step 4: Simplify right side
    12,415.47x = 100,479,071.18
  5. Step 5: Solve for x
    x = 100,479,071.18/12,415.47
  6. Step 6: Final answer
    x = 8,093.05

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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.