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Finding the Fourth Proportional to 13,862.67, 19,131.39 and 7,814.40

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Solution

The fourth proportional to 13,862.67, 19,131.39 and 7,814.40 is: 10,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.67 : 19,131.39 = 7,814.40 : x
  2. Step 2: Convert to fraction form
    13,862.67/19,131.39 = 7,814.40/x
  3. Step 3: Cross multiply
    13,862.67x = 19,131.39 × 7,814.40
  4. Step 4: Simplify right side
    13,862.67x = 149,500,199.29
  5. Step 5: Solve for x
    x = 149,500,199.29/13,862.67
  6. Step 6: Final answer
    x = 10,784.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.