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Finding the Fourth Proportional to 13,711.87, 18,931.59 and 12,770.14

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Solution

The fourth proportional to 13,711.87, 18,931.59 and 12,770.14 is: 17,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.87 : 18,931.59 = 12,770.14 : x
  2. Step 2: Convert to fraction form
    13,711.87/18,931.59 = 12,770.14/x
  3. Step 3: Cross multiply
    13,711.87x = 18,931.59 × 12,770.14
  4. Step 4: Simplify right side
    13,711.87x = 241,759,054.72
  5. Step 5: Solve for x
    x = 241,759,054.72/13,711.87
  6. Step 6: Final answer
    x = 17,631.37

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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.