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Finding the Fourth Proportional to 13,686.12, 18,886.46 and 7,717.74

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Solution

The fourth proportional to 13,686.12, 18,886.46 and 7,717.74 is: 10,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.12 : 18,886.46 = 7,717.74 : x
  2. Step 2: Convert to fraction form
    13,686.12/18,886.46 = 7,717.74/x
  3. Step 3: Cross multiply
    13,686.12x = 18,886.46 × 7,717.74
  4. Step 4: Simplify right side
    13,686.12x = 145,760,787.80
  5. Step 5: Solve for x
    x = 145,760,787.80/13,686.12
  6. Step 6: Final answer
    x = 10,650.26

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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.