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Finding the Fourth Proportional to 12,184.96, 18,280.32 and 5,259.52

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Solution

The fourth proportional to 12,184.96, 18,280.32 and 5,259.52 is: 7,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.96 : 18,280.32 = 5,259.52 : x
  2. Step 2: Convert to fraction form
    12,184.96/18,280.32 = 5,259.52/x
  3. Step 3: Cross multiply
    12,184.96x = 18,280.32 × 5,259.52
  4. Step 4: Simplify right side
    12,184.96x = 96,145,708.65
  5. Step 5: Solve for x
    x = 96,145,708.65/12,184.96
  6. Step 6: Final answer
    x = 7,890.52

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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.