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Finding the Fourth Proportional to 13,546.57, 18,686.74 and 7,880.68

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Solution

The fourth proportional to 13,546.57, 18,686.74 and 7,880.68 is: 10,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.57 : 18,686.74 = 7,880.68 : x
  2. Step 2: Convert to fraction form
    13,546.57/18,686.74 = 7,880.68/x
  3. Step 3: Cross multiply
    13,546.57x = 18,686.74 × 7,880.68
  4. Step 4: Simplify right side
    13,546.57x = 147,264,218.18
  5. Step 5: Solve for x
    x = 147,264,218.18/13,546.57
  6. Step 6: Final answer
    x = 10,870.96

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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.