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Finding the Fourth Proportional to 12,180.51, 18,256.94 and 5,156.15

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Solution

The fourth proportional to 12,180.51, 18,256.94 and 5,156.15 is: 7,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.51 : 18,256.94 = 5,156.15 : x
  2. Step 2: Convert to fraction form
    12,180.51/18,256.94 = 5,156.15/x
  3. Step 3: Cross multiply
    12,180.51x = 18,256.94 × 5,156.15
  4. Step 4: Simplify right side
    12,180.51x = 94,135,404.12
  5. Step 5: Solve for x
    x = 94,135,404.12/12,180.51
  6. Step 6: Final answer
    x = 7,728.36

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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.