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Finding the Fourth Proportional to 13,416.78, 18,509.40 and 8,108.52

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Solution

The fourth proportional to 13,416.78, 18,509.40 and 8,108.52 is: 11,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.78 : 18,509.40 = 8,108.52 : x
  2. Step 2: Convert to fraction form
    13,416.78/18,509.40 = 8,108.52/x
  3. Step 3: Cross multiply
    13,416.78x = 18,509.40 × 8,108.52
  4. Step 4: Simplify right side
    13,416.78x = 150,083,840.09
  5. Step 5: Solve for x
    x = 150,083,840.09/13,416.78
  6. Step 6: Final answer
    x = 11,186.28

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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.