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Finding the Fourth Proportional to 12,176.16, 18,264.60 and 4,782.48

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Solution

The fourth proportional to 12,176.16, 18,264.60 and 4,782.48 is: 7,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.16 : 18,264.60 = 4,782.48 : x
  2. Step 2: Convert to fraction form
    12,176.16/18,264.60 = 4,782.48/x
  3. Step 3: Cross multiply
    12,176.16x = 18,264.60 × 4,782.48
  4. Step 4: Simplify right side
    12,176.16x = 87,350,084.21
  5. Step 5: Solve for x
    x = 87,350,084.21/12,176.16
  6. Step 6: Final answer
    x = 7,173.86

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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.