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Finding the Fourth Proportional to 13,688.19, 18,892.64 and 8,649.21

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Solution

The fourth proportional to 13,688.19, 18,892.64 and 8,649.21 is: 11,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.19 : 18,892.64 = 8,649.21 : x
  2. Step 2: Convert to fraction form
    13,688.19/18,892.64 = 8,649.21/x
  3. Step 3: Cross multiply
    13,688.19x = 18,892.64 × 8,649.21
  4. Step 4: Simplify right side
    13,688.19x = 163,406,367.57
  5. Step 5: Solve for x
    x = 163,406,367.57/13,688.19
  6. Step 6: Final answer
    x = 11,937.76

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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.