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Finding the Fourth Proportional to 13,686.80, 18,886.37 and 10,103.65

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Solution

The fourth proportional to 13,686.80, 18,886.37 and 10,103.65 is: 13,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.80 : 18,886.37 = 10,103.65 : x
  2. Step 2: Convert to fraction form
    13,686.80/18,886.37 = 10,103.65/x
  3. Step 3: Cross multiply
    13,686.80x = 18,886.37 × 10,103.65
  4. Step 4: Simplify right side
    13,686.80x = 190,821,174.52
  5. Step 5: Solve for x
    x = 190,821,174.52/13,686.80
  6. Step 6: Final answer
    x = 13,941.99

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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.