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Finding the Fourth Proportional to 13,686.15, 18,886.90 and 7,717.80

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Solution

The fourth proportional to 13,686.15, 18,886.90 and 7,717.80 is: 10,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.15 : 18,886.90 = 7,717.80 : x
  2. Step 2: Convert to fraction form
    13,686.15/18,886.90 = 7,717.80/x
  3. Step 3: Cross multiply
    13,686.15x = 18,886.90 × 7,717.80
  4. Step 4: Simplify right side
    13,686.15x = 145,765,316.82
  5. Step 5: Solve for x
    x = 145,765,316.82/13,686.15
  6. Step 6: Final answer
    x = 10,650.57

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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.