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Finding the Fourth Proportional to 13,519.86, 18,656.13 and 7,929.78

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Solution

The fourth proportional to 13,519.86, 18,656.13 and 7,929.78 is: 10,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.86 : 18,656.13 = 7,929.78 : x
  2. Step 2: Convert to fraction form
    13,519.86/18,656.13 = 7,929.78/x
  3. Step 3: Cross multiply
    13,519.86x = 18,656.13 × 7,929.78
  4. Step 4: Simplify right side
    13,519.86x = 147,939,006.55
  5. Step 5: Solve for x
    x = 147,939,006.55/13,519.86
  6. Step 6: Final answer
    x = 10,942.35

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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.