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Finding the Fourth Proportional to 13,686.18, 18,886.95 and 7,717.83

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Solution

The fourth proportional to 13,686.18, 18,886.95 and 7,717.83 is: 10,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.18 : 18,886.95 = 7,717.83 : x
  2. Step 2: Convert to fraction form
    13,686.18/18,886.95 = 7,717.83/x
  3. Step 3: Cross multiply
    13,686.18x = 18,886.95 × 7,717.83
  4. Step 4: Simplify right side
    13,686.18x = 145,766,269.32
  5. Step 5: Solve for x
    x = 145,766,269.32/13,686.18
  6. Step 6: Final answer
    x = 10,650.62

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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.