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Finding the Fourth Proportional to 13,657.86, 18,846.68 and 7,688.43

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Solution

The fourth proportional to 13,657.86, 18,846.68 and 7,688.43 is: 10,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.86 : 18,846.68 = 7,688.43 : x
  2. Step 2: Convert to fraction form
    13,657.86/18,846.68 = 7,688.43/x
  3. Step 3: Cross multiply
    13,657.86x = 18,846.68 × 7,688.43
  4. Step 4: Simplify right side
    13,657.86x = 144,901,341.47
  5. Step 5: Solve for x
    x = 144,901,341.47/13,657.86
  6. Step 6: Final answer
    x = 10,609.37

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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.