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Finding the Fourth Proportional to 13,689.78, 18,891.90 and 7,402.20

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Solution

The fourth proportional to 13,689.78, 18,891.90 and 7,402.20 is: 10,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.78 : 18,891.90 = 7,402.20 : x
  2. Step 2: Convert to fraction form
    13,689.78/18,891.90 = 7,402.20/x
  3. Step 3: Cross multiply
    13,689.78x = 18,891.90 × 7,402.20
  4. Step 4: Simplify right side
    13,689.78x = 139,841,622.18
  5. Step 5: Solve for x
    x = 139,841,622.18/13,689.78
  6. Step 6: Final answer
    x = 10,215.04

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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.