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Finding the Fourth Proportional to 13,314.67, 19,870.75 and 11,838.49

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Solution

The fourth proportional to 13,314.67, 19,870.75 and 11,838.49 is: 17,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.67 : 19,870.75 = 11,838.49 : x
  2. Step 2: Convert to fraction form
    13,314.67/19,870.75 = 11,838.49/x
  3. Step 3: Cross multiply
    13,314.67x = 19,870.75 × 11,838.49
  4. Step 4: Simplify right side
    13,314.67x = 235,239,704.76
  5. Step 5: Solve for x
    x = 235,239,704.76/13,314.67
  6. Step 6: Final answer
    x = 17,667.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.