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Finding the Fourth Proportional to 13,689.77, 18,891.89 and 7,402.15

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Solution

The fourth proportional to 13,689.77, 18,891.89 and 7,402.15 is: 10,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.77 : 18,891.89 = 7,402.15 : x
  2. Step 2: Convert to fraction form
    13,689.77/18,891.89 = 7,402.15/x
  3. Step 3: Cross multiply
    13,689.77x = 18,891.89 × 7,402.15
  4. Step 4: Simplify right side
    13,689.77x = 139,840,574.84
  5. Step 5: Solve for x
    x = 139,840,574.84/13,689.77
  6. Step 6: Final answer
    x = 10,214.97

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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.