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Finding the Fourth Proportional to 13,686.37, 18,886.97 and 7,717.95

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Solution

The fourth proportional to 13,686.37, 18,886.97 and 7,717.95 is: 10,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.37 : 18,886.97 = 7,717.95 : x
  2. Step 2: Convert to fraction form
    13,686.37/18,886.97 = 7,717.95/x
  3. Step 3: Cross multiply
    13,686.37x = 18,886.97 × 7,717.95
  4. Step 4: Simplify right side
    13,686.37x = 145,768,709.41
  5. Step 5: Solve for x
    x = 145,768,709.41/13,686.37
  6. Step 6: Final answer
    x = 10,650.65

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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.