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Finding the Fourth Proportional to 13,278.62, 18,323.76 and 7,309.32

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Solution

The fourth proportional to 13,278.62, 18,323.76 and 7,309.32 is: 10,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.62 : 18,323.76 = 7,309.32 : x
  2. Step 2: Convert to fraction form
    13,278.62/18,323.76 = 7,309.32/x
  3. Step 3: Cross multiply
    13,278.62x = 18,323.76 × 7,309.32
  4. Step 4: Simplify right side
    13,278.62x = 133,934,225.44
  5. Step 5: Solve for x
    x = 133,934,225.44/13,278.62
  6. Step 6: Final answer
    x = 10,086.46

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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.