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Finding the Fourth Proportional to 12,280.23, 18,415.23 and 7,593.36

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Solution

The fourth proportional to 12,280.23, 18,415.23 and 7,593.36 is: 11,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.23 : 18,415.23 = 7,593.36 : x
  2. Step 2: Convert to fraction form
    12,280.23/18,415.23 = 7,593.36/x
  3. Step 3: Cross multiply
    12,280.23x = 18,415.23 × 7,593.36
  4. Step 4: Simplify right side
    12,280.23x = 139,833,470.87
  5. Step 5: Solve for x
    x = 139,833,470.87/12,280.23
  6. Step 6: Final answer
    x = 11,386.88

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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.