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Finding the Fourth Proportional to 13,134.78, 18,128.13 and 7,832.70

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Solution

The fourth proportional to 13,134.78, 18,128.13 and 7,832.70 is: 10,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.78 : 18,128.13 = 7,832.70 : x
  2. Step 2: Convert to fraction form
    13,134.78/18,128.13 = 7,832.70/x
  3. Step 3: Cross multiply
    13,134.78x = 18,128.13 × 7,832.70
  4. Step 4: Simplify right side
    13,134.78x = 141,992,203.85
  5. Step 5: Solve for x
    x = 141,992,203.85/13,134.78
  6. Step 6: Final answer
    x = 10,810.40

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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.